100164109 has 2 divisors, whose sum is σ = 100164110. Its totient is φ = 100164108.

The previous prime is 100164089. The next prime is 100164139. The reversal of 100164109 is 901461001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88454025 + 11710084 = 9405^2 + 3422^2 .

It is a cyclic number.

It is not a de Polignac number, because 100164109 - 2¹⁵ = 100131341 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100164109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 50082054 + 50082055.

It is an arithmetic number, because the mean of its divisors is an integer number (50082055).

Almost surely, 2^100164109 is an apocalyptic number.

It is an amenable number.

100164109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100164109 is an equidigital number, since it uses as much as digits as its factorization.

100164109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 100164109 is about 10008.2020862890. The cubic root of 100164109 is about 464.4126534260.

The spelling of 100164109 in words is "one hundred million, one hundred sixty-four thousand, one hundred nine".