104587200 has 252 divisors, whose sum is σ = 386928360. Its totient is φ = 27786240.

The previous prime is 104587199. The next prime is 104587237. The reversal of 104587200 is 2785401.

104587200 is a `hidden beast` number, since 1 + 0 + 458 + 7 + 200 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 388666 + ... + 388934.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430).

Almost surely, 2^104587200 is an apocalyptic number.

104587200 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 104587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193464180).

104587200 is an abundant number, since it is smaller than the sum of its proper divisors (282341160).

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

104587200 is an equidigital number, since it uses as much as digits as its factorization.

104587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 104587200 is about 10226.7883521661. The cubic root of 104587200 is about 471.1503435018.

The spelling of 104587200 in words is "one hundred four million, five hundred eighty-seven thousand, two hundred".