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105500500050060 = 2235522379704033
BaseRepresentation
bin10111111111001110111111…
…110101000100000010001100
3111211112202020020120112200000
4113333032333311010002030
5102312010011003100220
61012214132144204300
731136105512140003
oct2777167765040214
9454482206515600
10105500500050060
1130685568982145
12b9ba854009690
1346b3867b29a8b
141c0a373d87c3a
15c2e49b99c390
hex5ff3bfd4408c

105500500050060 has 144 divisors (see below), whose sum is σ = 332019098270496. Its totient is φ = 28120887355392.

The previous prime is 105500500050059. The next prime is 105500500050061. The reversal of 105500500050060 is 60050005005501.

105500500050060 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 0 + 50 + 0 + 0 + 500 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (105500500050059) and next prime (105500500050061).

It is a super-2 number, since 2×1055005000500602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105500500050061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6019804 + ... + 15723836.

It is an arithmetic number, because the mean of its divisors is an integer number (2305688182434).

Almost surely, 2105500500050060 is an apocalyptic number.

105500500050060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105500500050060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166009549135248).

105500500050060 is an abundant number, since it is smaller than the sum of its proper divisors (226518598220436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105500500050060 is a wasteful number, since it uses less digits than its factorization.

105500500050060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706294 (or 9706280 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

Adding to 105500500050060 its reverse (60050005005501), we get a palindrome (165550505055561).

The spelling of 105500500050060 in words is "one hundred five trillion, five hundred billion, five hundred million, fifty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2237 2430 4474 4860 6711 8948 11185 13422 20133 22370 26844 33555 40266 44740 60399 67110 80532 100665 120798 134220 181197 201330 241596 301995 362394 402660 543591 603990 724788 905985 1087182 1207980 1811970 2174364 2717955 3623940 5435910 9704033 10871820 19408066 29112099 38816132 48520165 58224198 87336297 97040330 116448396 145560495 174672594 194080660 262008891 291120990 349345188 436681485 524017782 582241980 786026673 873362970 1048035564 1310044455 1572053346 1746725940 2358080019 2620088910 3144106692 3930133365 4716160038 5240177820 7860266730 9432320076 11790400095 15720533460 21707921821 23580800190 43415843642 47161600380 65123765463 86831687284 108539609105 130247530926 195371296389 217079218210 260495061852 325618827315 390742592778 434158436420 586113889167 651237654630 781485185556 976856481945 1172227778334 1302475309260 1758341667501 1953712963890 2344455556668 2930569445835 3516683335002 3907425927780 5275025002503 5861138891670 7033366670004 8791708337505 10550050005006 11722277783340 17583416675010 21100100010012 26375125012515 35166833350020 52750250025030 105500500050060