104766624 has 36 divisors (see below), whose sum is σ = 297930906. Its totient is φ = 34922112.

The previous prime is 104766581. The next prime is 104766653. The reversal of 104766624 is 426667401.

It can be written as a sum of positive squares in only one way, i.e., 58798224 + 45968400 = 7668^2 + 6780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181599 + ... + 182174.

Almost surely, 2^104766624 is an apocalyptic number.

It is an amenable number.

104766624 is an abundant number, since it is smaller than the sum of its proper divisors (193164282).

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

104766624 is a wasteful number, since it uses less digits than its factorization.

104766624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363789 (or 363778 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 104766624 is about 10235.5568485549. The cubic root of 104766624 is about 471.4196160440.

The spelling of 104766624 in words is "one hundred four million, seven hundred sixty-six thousand, six hundred twenty-four".