104970726144 has 72 divisors (see below), whose sum is σ = 310416924720. Its totient is φ = 34990239744.

The previous prime is 104970726137. The next prime is 104970726173. The reversal of 104970726144 is 441627079401.

104970726144 is a `hidden beast` number, since 10 + 497 + 0 + 7 + 2 + 6 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×104970726144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104970726144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7586457 + ... + 7600280.

Almost surely, 2^104970726144 is an apocalyptic number.

It is an amenable number.

104970726144 is an abundant number, since it is smaller than the sum of its proper divisors (205446198576).

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

104970726144 is an equidigital number, since it uses as much as digits as its factorization.

104970726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15186762 (or 15186742 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 104970726144 in words is "one hundred four billion, nine hundred seventy million, seven hundred twenty-six thousand, one hundred forty-four".