104362516304352 has 72 divisors (see below), whose sum is σ = 296786952582120. Its totient is φ = 34786796647680.

The previous prime is 104362516304339. The next prime is 104362516304363. The reversal of 104362516304352 is 253403615263401.

104362516304352 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 6 + 2 + 5 + 1 + 630 + 4 + 3 + 5 + 2 = 666.

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

It is a super-2 number, since 2×104362516304352² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104362516304298 and 104362516304307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10563474 + ... + 17897262.

It is an arithmetic number, because the mean of its divisors is an integer number (4122041008085).

Almost surely, 2^{104362516304352} is an apocalyptic number.

104362516304352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104362516304352 is an abundant number, since it is smaller than the sum of its proper divisors (192424436277768).

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

104362516304352 is a wasteful number, since it uses less digits than its factorization.

104362516304352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383216 (or 7383205 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 104362516304352 in words is "one hundred four trillion, three hundred sixty-two billion, five hundred sixteen million, three hundred four thousand, three hundred fifty-two".