100164073 has 2 divisors, whose sum is σ = 100164074. Its totient is φ = 100164072.

The previous prime is 100164061. The next prime is 100164079. The reversal of 100164073 is 370461001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64128064 + 36036009 = 8008^2 + 6003^2 .

It is an emirp because it is prime and its reverse (370461001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100164073 - 2²¹ = 98066921 is a prime.

It is not a weakly prime, because it can be changed into another prime (100164079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50082036 + 50082037.

It is an arithmetic number, because the mean of its divisors is an integer number (50082037).

Almost surely, 2^100164073 is an apocalyptic number.

It is an amenable number.

100164073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100164073 is an equidigital number, since it uses as much as digits as its factorization.

100164073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 100164073 is about 10008.2002877640. The cubic root of 100164073 is about 464.4125977878.

The spelling of 100164073 in words is "one hundred million, one hundred sixty-four thousand, seventy-three".