100992800 has 36 divisors (see below), whose sum is σ = 246550626. Its totient is φ = 40396800.

The previous prime is 100992797. The next prime is 100992821. The reversal of 100992800 is 8299001.

It can be written as a sum of positive squares in 3 ways, for example, as 48052624 + 52940176 = 6932^2 + 7276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62321 + ... + 63920.

Almost surely, 2^100992800 is an apocalyptic number.

100992800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100992800 is an abundant number, since it is smaller than the sum of its proper divisors (145557826).

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

100992800 is a wasteful number, since it uses less digits than its factorization.

100992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126261 (or 126248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 100992800 is about 10049.5174013482. The cubic root of 100992800 is about 465.6898843562.

The spelling of 100992800 in words is "one hundred million, nine hundred ninety-two thousand, eight hundred".