104860800 has 288 divisors, whose sum is σ = 409415760. Its totient is φ = 25344000.

The previous prime is 104860799. The next prime is 104860813. The reversal of 104860800 is 8068401.

104860800 is a `hidden beast` number, since 10 + 48 + 608 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316635 + ... + 316965.

Almost surely, 2^104860800 is an apocalyptic number.

104860800 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 104860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204707880).

104860800 is an abundant number, since it is smaller than the sum of its proper divisors (304554960).

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

104860800 is a wasteful number, since it uses less digits than its factorization.

104860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 104860800 is about 10240.1562488079. The cubic root of 104860800 is about 471.5608286932.

The spelling of 104860800 in words is "one hundred four million, eight hundred sixty thousand, eight hundred".