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105244552440 = 23325714117549
BaseRepresentation
bin110001000000100010…
…0000110110011111000
3101001122200012012200200
41202001010012303320
53211020101134230
6120203152002200
710414025635566
oct1420104066370
9331580165620
10105244552440
11406a7895a65
1218492230360
139c03224301
1451457c0a36
152b0e89b160
hex1881106cf8

105244552440 has 96 divisors (see below), whose sum is σ = 346862412000. Its totient is φ = 27669922560.

The previous prime is 105244552351. The next prime is 105244552451. The reversal of 105244552440 is 44255442501.

105244552440 is a `hidden beast` number, since 1 + 0 + 52 + 4 + 45 + 524 + 40 = 666.

It is a super-2 number, since 2×1052445524402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105244552395 and 105244552404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2033215 + ... + 2084334.

It is an arithmetic number, because the mean of its divisors is an integer number (3613150125).

Almost surely, 2105244552440 is an apocalyptic number.

105244552440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105244552440 is an abundant number, since it is smaller than the sum of its proper divisors (241617859560).

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

105244552440 is a wasteful number, since it uses less digits than its factorization.

105244552440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117637 (or 4117630 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 105244552440 its reverse (44255442501), we get a palindrome (149499994941).

The spelling of 105244552440 in words is "one hundred five billion, two hundred forty-four million, five hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 4117549 8235098 12352647 16470196 20587745 24705294 32940392 37057941 41175490 49410588 61763235 74115882 82350980 98821176 123526470 148231764 164701960 185289705 247052940 292345979 296463528 370579410 494105880 584691958 741158820 877037937 1169383916 1461729895 1482317640 1754075874 2338767832 2631113811 2923459790 3508151748 4385189685 5262227622 5846919580 7016303496 8770379370 10524455244 11693839160 13155569055 17540758740 21048910488 26311138110 35081517480 52622276220 105244552440