100072167 has 12 divisors (see below), whose sum is σ = 144483624. Its totient is φ = 61582560.

The previous prime is 100072163. The next prime is 100072177. The reversal of 100072167 is 761270001.

It is not a de Polignac number, because 100072167 - 2² = 100072163 is a prime.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98184 + ... + 99197.

It is an arithmetic number, because the mean of its divisors is an integer number (12040302).

Almost surely, 2^100072167 is an apocalyptic number.

100072167 is a deficient number, since it is larger than the sum of its proper divisors (44411457).

100072167 is a wasteful number, since it uses less digits than its factorization.

100072167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197410 (or 197397 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 100072167 is about 10003.6076992253. The cubic root of 100072167 is about 464.2705130261.

The spelling of 100072167 in words is "one hundred million, seventy-two thousand, one hundred sixty-seven".