100167165 has 32 divisors (see below), whose sum is σ = 203516160. Its totient is φ = 45790272.

The previous prime is 100167163. The next prime is 100167203. The reversal of 100167165 is 561761001.

It is not a de Polignac number, because 100167165 - 2¹ = 100167163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100167161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52054 + ... + 53943.

It is an arithmetic number, because the mean of its divisors is an integer number (6359880).

Almost surely, 2^100167165 is an apocalyptic number.

100167165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100167165 is an abundant number, since it is smaller than the sum of its proper divisors (103348995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100167165 is a wasteful number, since it uses less digits than its factorization.

100167165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106018 (or 106012 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 100167165 is about 10008.3547598994. The cubic root of 100167165 is about 464.4173764439.

The spelling of 100167165 in words is "one hundred million, one hundred sixty-seven thousand, one hundred sixty-five".