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105075459037326 = 23192433112035317
BaseRepresentation
bin10111111001000011001001…
…011010010001100010001110
3111210001010010101220220222010
4113321003021122101202032
5102233024020003143301
61011250555520202050
731063310554140651
oct2771031132214216
9453033111826863
10105075459037326
11305312853512a8
12b9503b2769326
13468275b62574b
141bd3972203898
15c233c19ce5d6
hex5f90c969188e

105075459037326 has 48 divisors (see below), whose sum is σ = 222305855670864. Its totient is φ = 33105091454208.

The previous prime is 105075459037319. The next prime is 105075459037369. The reversal of 105075459037326 is 623730954570501.

It is a happy number.

It is a super-2 number, since 2×1050754590373262 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 55079781 + ... + 56955536.

It is an arithmetic number, because the mean of its divisors is an integer number (4631371993143).

Almost surely, 2105075459037326 is an apocalyptic number.

105075459037326 is an abundant number, since it is smaller than the sum of its proper divisors (117230396633538).

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

105075459037326 is a wasteful number, since it uses less digits than its factorization.

105075459037326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112035793 (or 112035774 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 57.

The spelling of 105075459037326 in words is "one hundred five trillion, seventy-five billion, four hundred fifty-nine million, thirty-seven thousand, three hundred twenty-six".

Divisors: 1 2 3 6 19 38 57 114 361 433 722 866 1083 1299 2166 2598 8227 16454 24681 49362 156313 312626 468939 937878 112035317 224070634 336105951 672211902 2128671023 4257342046 6386013069 12772026138 40444749437 48511292261 80889498874 97022584522 121334248311 145533876783 242668496622 291067753566 921714552959 1843429105918 2765143658877 5530287317754 17512576506221 35025153012442 52537729518663 105075459037326