104688008352 has 72 divisors (see below), whose sum is σ = 298865126196. Its totient is φ = 34760196096.

The previous prime is 104688008303. The next prime is 104688008371. The reversal of 104688008352 is 253800886401.

104688008352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61125639696 + 43562368656 = 247236^2 + 208716^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 104688008298 and 104688008307.

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, 633183 + ... + 781214.

Almost surely, 2^104688008352 is an apocalyptic number.

104688008352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104688008352 is an abundant number, since it is smaller than the sum of its proper divisors (194177117844).

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

104688008352 is a wasteful number, since it uses less digits than its factorization.

104688008352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414670 (or 1414659 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 104688008352 in words is "one hundred four billion, six hundred eighty-eight million, eight thousand, three hundred fifty-two".