100165007 has 2 divisors, whose sum is σ = 100165008. Its totient is φ = 100165006.

The previous prime is 100164991. The next prime is 100165049. The reversal of 100165007 is 700561001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100165007 - 2⁴ = 100164991 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100165007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100165057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50082503 + 50082504.

It is an arithmetic number, because the mean of its divisors is an integer number (50082504).

Almost surely, 2^100165007 is an apocalyptic number.

100165007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100165007 is an equidigital number, since it uses as much as digits as its factorization.

100165007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 100165007 is about 10008.2469493913. The cubic root of 100165007 is about 464.4140412861.

The spelling of 100165007 in words is "one hundred million, one hundred sixty-five thousand, seven".