108164 has 12 divisors (see below), whose sum is σ = 216384. Its totient is φ = 46344.

The previous prime is 108161. The next prime is 108179. The reversal of 108164 is 461801.

108164 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (108161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1904 + ... + 1959.

It is an arithmetic number, because the mean of its divisors is an integer number (18032).

2¹⁰⁸¹⁶⁴ is an apocalyptic number.

108164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

108164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

108164 is a wasteful number, since it uses less digits than its factorization.

108164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 108164 is about 328.8829579045. The cubic root of 108164 is about 47.6461243470.

Adding to 108164 its reverse (461801), we get a palindrome (569965).

It can be divided in two parts, 10816 and 4, that multiplied together give a square (43264 = 208²).

The spelling of 108164 in words is "one hundred eight thousand, one hundred sixty-four".