100055200 has 144 divisors (see below), whose sum is σ = 295856064. Its totient is φ = 32256000.

The previous prime is 100055177. The next prime is 100055201. The reversal of 100055200 is 2550001.

It is a super-2 number, since 2×100055200² = 20022086094080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100055201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94675 + ... + 95725.

It is an arithmetic number, because the mean of its divisors is an integer number (2054556).

Almost surely, 2^100055200 is an apocalyptic number.

100055200 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 100055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147928032).

100055200 is an abundant number, since it is smaller than the sum of its proper divisors (195800864).

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

100055200 is a wasteful number, since it uses less digits than its factorization.

100055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 100055200 is about 10002.7596192251. The cubic root of 100055200 is about 464.2442728861.

The spelling of 100055200 in words is "one hundred million, fifty-five thousand, two hundred".