102167107 has 12 divisors (see below), whose sum is σ = 120284136. Its totient is φ = 86513280.

The previous prime is 102167099. The next prime is 102167113. The reversal of 102167107 is 701761201.

It is not a de Polignac number, because 102167107 - 2³ = 102167099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102167137) 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 11 ways as a sum of consecutive naturals, for example, 8494 + ... + 16627.

It is an arithmetic number, because the mean of its divisors is an integer number (10023678).

Almost surely, 2^102167107 is an apocalyptic number.

102167107 is a deficient number, since it is larger than the sum of its proper divisors (18117029).

102167107 is an equidigital number, since it uses as much as digits as its factorization.

102167107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25218 (or 25211 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 102167107 is about 10107.7745819740. The cubic root of 102167107 is about 467.4878901035.

The spelling of 102167107 in words is "one hundred two million, one hundred sixty-seven thousand, one hundred seven".