100272167 has 2 divisors, whose sum is σ = 100272168. Its totient is φ = 100272166.

The previous prime is 100272163. The next prime is 100272187. The reversal of 100272167 is 761272001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100272167 - 2² = 100272163 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100272163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50136083 + 50136084.

It is an arithmetic number, because the mean of its divisors is an integer number (50136084).

Almost surely, 2^100272167 is an apocalyptic number.

100272167 is a deficient number, since it is larger than the sum of its proper divisors (1).

100272167 is an equidigital number, since it uses as much as digits as its factorization.

100272167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 100272167 is about 10013.5991032196. The cubic root of 100272167 is about 464.5795976793.

The spelling of 100272167 in words is "one hundred million, two hundred seventy-two thousand, one hundred sixty-seven".