104959357452576 has 144 divisors (see below), whose sum is σ = 325822234177440. Its totient is φ = 31785384130560.

The previous prime is 104959357452563. The next prime is 104959357452581. The reversal of 104959357452576 is 675254753959401.

104959357452576 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 5 + 9 + 3 + 5 + 7 + 45 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×104959357452576² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 5746906 + ... + 15586713.

It is an arithmetic number, because the mean of its divisors is an integer number (2262654404010).

Almost surely, 2^{104959357452576} is an apocalyptic number.

104959357452576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104959357452576 is an abundant number, since it is smaller than the sum of its proper divisors (220862876724864).

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

104959357452576 is a wasteful number, since it uses less digits than its factorization.

104959357452576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21335199 (or 21335188 counting only the distinct ones).

The product of its (nonzero) digits is 1428840000, while the sum is 72.

The spelling of 104959357452576 in words is "one hundred four trillion, nine hundred fifty-nine billion, three hundred fifty-seven million, four hundred fifty-two thousand, five hundred seventy-six".