104632800 has 72 divisors (see below), whose sum is σ = 340587576. Its totient is φ = 27901440.

The previous prime is 104632799. The next prime is 104632813. The reversal of 104632800 is 8236401.

It is a happy number.

It is a super-3 number, since 3×104632800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 19399 + ... + 24198.

It is an arithmetic number, because the mean of its divisors is an integer number (4730383).

Almost surely, 2^104632800 is an apocalyptic number.

104632800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104632800 is an abundant number, since it is smaller than the sum of its proper divisors (235954776).

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

104632800 is a wasteful number, since it uses less digits than its factorization.

104632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43620 (or 43607 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 104632800 is about 10229.0175481324. The cubic root of 104632800 is about 471.2188073737.

The spelling of 104632800 in words is "one hundred four million, six hundred thirty-two thousand, eight hundred".