100072364 has 12 divisors (see below), whose sum is σ = 200144784. Its totient is φ = 42888144.

The previous prime is 100072363. The next prime is 100072367. The reversal of 100072364 is 463270001.

100072364 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (100072361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1786979 + ... + 1787034.

It is an arithmetic number, because the mean of its divisors is an integer number (16678732).

Almost surely, 2^100072364 is an apocalyptic number.

100072364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100072364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

100072364 is a wasteful number, since it uses less digits than its factorization.

100072364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574024 (or 3574022 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 100072364 is about 10003.6175456682. The cubic root of 100072364 is about 464.2708176770.

The spelling of 100072364 in words is "one hundred million, seventy-two thousand, three hundred sixty-four".