100705200 has 60 divisors (see below), whose sum is σ = 322596168. Its totient is φ = 26854400.

The previous prime is 100705169. The next prime is 100705211. The reversal of 100705200 is 2507001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 100705200.

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, 40761 + ... + 43160.

Almost surely, 2^100705200 is an apocalyptic number.

100705200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100705200 is an abundant number, since it is smaller than the sum of its proper divisors (221890968).

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

100705200 is a wasteful number, since it uses less digits than its factorization.

100705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83942 (or 83931 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 100705200 is about 10035.1980548468. The cubic root of 100705200 is about 465.2474114056.

The spelling of 100705200 in words is "one hundred million, seven hundred five thousand, two hundred".