100272164 has 24 divisors (see below), whose sum is σ = 178573248. Its totient is φ = 49256480.

The previous prime is 100272163. The next prime is 100272167. The reversal of 100272164 is 461272001.

It is not an unprimeable number, because it can be changed into a prime (100272163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125414 + ... + 126210.

It is an arithmetic number, because the mean of its divisors is an integer number (7440552).

Almost surely, 2^100272164 is an apocalyptic number.

It is an amenable number.

100272164 is a deficient number, since it is larger than the sum of its proper divisors (78301084).

100272164 is a wasteful number, since it uses less digits than its factorization.

100272164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 100272164 is about 10013.5989534233. The cubic root of 100272164 is about 464.5795930461.

The spelling of 100272164 in words is "one hundred million, two hundred seventy-two thousand, one hundred sixty-four".