100251200 has 84 divisors (see below), whose sum is σ = 281952192. Its totient is φ = 34368000.

The previous prime is 100251199. The next prime is 100251209. The reversal of 100251200 is 2152001.

It is not an unprimeable number, because it can be changed into a prime (100251209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6725 + ... + 15675.

Almost surely, 2^100251200 is an apocalyptic number.

100251200 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 100251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140976096).

100251200 is an abundant number, since it is smaller than the sum of its proper divisors (181700992).

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

100251200 is an equidigital number, since it uses as much as digits as its factorization.

100251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 100251200 is about 10012.5521222114. The cubic root of 100251200 is about 464.5472140853.

The spelling of 100251200 in words is "one hundred million, two hundred fifty-one thousand, two hundred".