104492251800 has 960 divisors, whose sum is σ = 404459827200. Its totient is φ = 24895641600.

The previous prime is 104492251771. The next prime is 104492251823. The reversal of 104492251800 is 8152294401.

104492251800 is a `hidden beast` number, since 10 + 44 + 92 + 2 + 518 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 448464484 + ... + 448464716.

It is an arithmetic number, because the mean of its divisors is an integer number (421312320).

Almost surely, 2^104492251800 is an apocalyptic number.

104492251800 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 104492251800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202229913600).

104492251800 is an abundant number, since it is smaller than the sum of its proper divisors (299967575400).

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

104492251800 is a wasteful number, since it uses less digits than its factorization.

104492251800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 104492251800 in words is "one hundred four billion, four hundred ninety-two million, two hundred fifty-one thousand, eight hundred".