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106110610060 = 225713411422013
BaseRepresentation
bin110001011010010101…
…1110110101010001100
3101010220000211111101211
41202310223312222030
53214303304010220
6120425130344204
710444343206120
oct1426453665214
9333800744354
10106110610060
1141001744964
121869428b064
13a010795440
1451c8823580
152b60920b5a
hex18b4af6a8c

106110610060 has 96 divisors (see below), whose sum is σ = 280944461952. Its totient is φ = 32763156480.

The previous prime is 106110610057. The next prime is 106110610061. The reversal of 106110610060 is 60016011601.

It is a super-2 number, since 2×1061106100602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106110610061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636387 + ... + 785626.

It is an arithmetic number, because the mean of its divisors is an integer number (2926504812).

Almost surely, 2106110610060 is an apocalyptic number.

106110610060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106110610060 is an abundant number, since it is smaller than the sum of its proper divisors (174833851892).

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

106110610060 is a wasteful number, since it uses less digits than its factorization.

106110610060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422083 (or 1422081 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 106110610060 its reverse (60016011601), we get a palindrome (166126621661).

The spelling of 106110610060 in words is "one hundred six billion, one hundred ten million, six hundred ten thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 41 52 65 70 82 91 130 140 164 182 205 260 287 364 410 455 533 574 820 910 1066 1148 1435 1820 2132 2665 2870 3731 5330 5740 7462 10660 14924 18655 37310 74620 1422013 2844026 5688052 7110065 9954091 14220130 18486169 19908182 28440260 36972338 39816364 49770455 58302533 73944676 92430845 99540910 116605066 129403183 184861690 199081820 233210132 258806366 291512665 369723380 408117731 517612732 583025330 647015915 757932929 816235462 1166050660 1294031830 1515865858 1632470924 2040588655 2588063660 3031731716 3789664645 4081177310 5305530503 7579329290 8162354620 10611061006 15158658580 21222122012 26527652515 53055305030 106110610060