100072160 has 24 divisors (see below), whose sum is σ = 236420856. Its totient is φ = 40028800.

The previous prime is 100072151. The next prime is 100072163. The reversal of 100072160 is 61270001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312566 + ... + 312885.

It is an arithmetic number, because the mean of its divisors is an integer number (9850869).

Almost surely, 2^100072160 is an apocalyptic number.

100072160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100072160 is an abundant number, since it is smaller than the sum of its proper divisors (136348696).

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

100072160 is an equidigital number, since it uses as much as digits as its factorization.

100072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625466 (or 625458 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 100072160 is about 10003.6073493515. The cubic root of 100072160 is about 464.2705022009.

It can be divided in two parts, 10007 and 2160, that added together give a cube (12167 = 23³).

The spelling of 100072160 in words is "one hundred million, seventy-two thousand, one hundred sixty".