100555200 has 126 divisors (see below), whose sum is σ = 357448104. Its totient is φ = 26810880.

The previous prime is 100555181. The next prime is 100555223. The reversal of 100555200 is 2555001.

It is a super-2 number, since 2×100555200² = 20222696494080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10909 + ... + 17891.

Almost surely, 2^100555200 is an apocalyptic number.

100555200 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 100555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178724052).

100555200 is an abundant number, since it is smaller than the sum of its proper divisors (256892904).

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

100555200 is a wasteful number, since it uses less digits than its factorization.

100555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 100555200 is about 10027.7215757120. The cubic root of 100555200 is about 465.0163018912.

The spelling of 100555200 in words is "one hundred million, five hundred fifty-five thousand, two hundred".