104585616 has 30 divisors (see below), whose sum is σ = 292694870. Its totient is φ = 34861824.

The previous prime is 104585603. The next prime is 104585639. The reversal of 104585616 is 616585401.

104585616 is a `hidden beast` number, since 10 + 4 + 585 + 61 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 4665600 = 9996^2 + 2160^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 363001 + ... + 363288.

Almost surely, 2^104585616 is an apocalyptic number.

104585616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104585616 is an abundant number, since it is smaller than the sum of its proper divisors (188109254).

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

104585616 is a wasteful number, since it uses less digits than its factorization.

104585616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726303 (or 726294 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 104585616 is about 10226.7109082050. The cubic root of 104585616 is about 471.1479649254.

The spelling of 104585616 in words is "one hundred four million, five hundred eighty-five thousand, six hundred sixteen".