104684800 has 108 divisors (see below), whose sum is σ = 282856896. Its totient is φ = 38041600.

The previous prime is 104684791. The next prime is 104684819. The reversal of 104684800 is 8486401.

It is a congruent number.

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, 69657 + ... + 71143.

Almost surely, 2^104684800 is an apocalyptic number.

104684800 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 104684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141428448).

104684800 is an abundant number, since it is smaller than the sum of its proper divisors (178172096).

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

104684800 is a wasteful number, since it uses less digits than its factorization.

104684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 104684800 is about 10231.5590209899. The cubic root of 104684800 is about 471.2968559395.

The spelling of 104684800 in words is "one hundred four million, six hundred eighty-four thousand, eight hundred".