100472200 has 48 divisors (see below), whose sum is σ = 236592000. Its totient is φ = 39673920.

The previous prime is 100472191. The next prime is 100472213. The reversal of 100472200 is 2274001.

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, 12621 + ... + 18979.

It is an arithmetic number, because the mean of its divisors is an integer number (4929000).

Almost surely, 2^100472200 is an apocalyptic number.

100472200 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 100472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118296000).

100472200 is an abundant number, since it is smaller than the sum of its proper divisors (136119800).

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

100472200 is a wasteful number, since it uses less digits than its factorization.

100472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6454 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 100472200 is about 10023.5821940063. The cubic root of 100472200 is about 464.8883225084. Note that the first 3 decimals are identical.

The spelling of 100472200 in words is "one hundred million, four hundred seventy-two thousand, two hundred".