100164137 has 4 divisors (see below), whose sum is σ = 100594260. Its totient is φ = 99734016.

The previous prime is 100164109. The next prime is 100164139. The reversal of 100164137 is 731461001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 26822041 + 73342096 = 5179^2 + 8564^2 .

It is a cyclic number.

It is not a de Polignac number, because 100164137 - 2⁶ = 100164073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100164139) 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 in 3 ways as a sum of consecutive naturals, for example, 214712 + ... + 215177.

It is an arithmetic number, because the mean of its divisors is an integer number (25148565).

Almost surely, 2^100164137 is an apocalyptic number.

It is an amenable number.

100164137 is a deficient number, since it is larger than the sum of its proper divisors (430123).

100164137 is an equidigital number, since it uses as much as digits as its factorization.

100164137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430122.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 100164137 is about 10008.2034851416. The cubic root of 100164137 is about 464.4126967001.

The spelling of 100164137 in words is "one hundred million, one hundred sixty-four thousand, one hundred thirty-seven".