100525200 has 120 divisors (see below), whose sum is σ = 339040800. Its totient is φ = 25390080.

The previous prime is 100525193. The next prime is 100525211. The reversal of 100525200 is 2525001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100525200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20596 + ... + 25004.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2^100525200 is an apocalyptic number.

100525200 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 100525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169520400).

100525200 is an abundant number, since it is smaller than the sum of its proper divisors (238515600).

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

100525200 is a wasteful number, since it uses less digits than its factorization.

100525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 100525200 is about 10026.2256108667. The cubic root of 100525200 is about 464.9700524129.

The spelling of 100525200 in words is "one hundred million, five hundred twenty-five thousand, two hundred".