104817312 has 36 divisors (see below), whose sum is σ = 298075050. Its totient is φ = 34939008.

The previous prime is 104817301. The next prime is 104817341. The reversal of 104817312 is 213718401.

It can be written as a sum of positive squares in only one way, i.e., 104775696 + 41616 = 10236^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (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, 181687 + ... + 182262.

Almost surely, 2^104817312 is an apocalyptic number.

104817312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104817312 is an abundant number, since it is smaller than the sum of its proper divisors (193257738).

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

104817312 is a wasteful number, since it uses less digits than its factorization.

104817312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363965 (or 363954 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 104817312 is about 10238.0326235073. The cubic root of 104817312 is about 471.4956309170.

The spelling of 104817312 in words is "one hundred four million, eight hundred seventeen thousand, three hundred twelve".