165109875 has 64 divisors (see below), whose sum is σ = 324280320. Its totient is φ = 73008000.

The previous prime is 165109853. The next prime is 165109891. The reversal of 165109875 is 578901561.

It is not a de Polignac number, because 165109875 - 2⁵ = 165109843 is a prime.

It is a super-2 number, since 2×165109875² = 54522541645031250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80361 + ... + 82389.

It is an arithmetic number, because the mean of its divisors is an integer number (5066880).

Almost surely, 2^165109875 is an apocalyptic number.

165109875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165109875 is a deficient number, since it is larger than the sum of its proper divisors (159170445).

165109875 is a wasteful number, since it uses less digits than its factorization.

165109875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 165109875 is about 12849.5087454735. The cubic root of 165109875 is about 548.6023743142.

The spelling of 165109875 in words is "one hundred sixty-five million, one hundred nine thousand, eight hundred seventy-five".