104692320 has 288 divisors, whose sum is σ = 389188800. Its totient is φ = 25546752.

The previous prime is 104692309. The next prime is 104692333. The reversal of 104692320 is 23296401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960426 + ... + 960534.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^104692320 is an apocalyptic number.

104692320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104692320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

104692320 is an abundant number, since it is smaller than the sum of its proper divisors (284496480).

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

104692320 is a wasteful number, since it uses less digits than its factorization.

104692320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 104692320 is about 10231.9265048181. The cubic root of 104692320 is about 471.3081408235.

The spelling of 104692320 in words is "one hundred four million, six hundred ninety-two thousand, three hundred twenty".