109164 has 24 divisors (see below), whose sum is σ = 278208. Its totient is φ = 33040.

The previous prime is 109159. The next prime is 109169. The reversal of 109164 is 461901.

It is an interprime number because it is at equal distance from previous prime (109159) and next prime (109169).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 109164.

It is not an unprimeable number, because it can be changed into a prime (109169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (11592).

2¹⁰⁹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

109164 is an abundant number, since it is smaller than the sum of its proper divisors (169044).

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

109164 is a wasteful number, since it uses less digits than its factorization.

109164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 109164 is about 330.3997578692. The cubic root of 109164 is about 47.7925071266.

The spelling of 109164 in words is "one hundred nine thousand, one hundred sixty-four".