100055600 has 60 divisors (see below), whose sum is σ = 248168640. Its totient is φ = 38726400.

The previous prime is 100055561. The next prime is 100055623. The reversal of 100055600 is 6550001.

It is a super-2 number, since 2×100055600² = 20022246182720000, which contains 22 as substring.

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, 8366 + ... + 16434.

It is an arithmetic number, because the mean of its divisors is an integer number (4136144).

Almost surely, 2^100055600 is an apocalyptic number.

100055600 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 100055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124084320).

100055600 is an abundant number, since it is smaller than the sum of its proper divisors (148113040).

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

100055600 is a wasteful number, since it uses less digits than its factorization.

100055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 100055600 is about 10002.7796136874. The cubic root of 100055600 is about 464.2448915361.

The spelling of 100055600 in words is "one hundred million, fifty-five thousand, six hundred".