103164 has 12 divisors (see below), whose sum is σ = 240744. Its totient is φ = 34384.

The previous prime is 103141. The next prime is 103171. The reversal of 103164 is 461301.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103164.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4287 + ... + 4310.

It is an arithmetic number, because the mean of its divisors is an integer number (20062).

2¹⁰³¹⁶⁴ is an apocalyptic number.

It is an amenable number.

103164 is an abundant number, since it is smaller than the sum of its proper divisors (137580).

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

103164 is a wasteful number, since it uses less digits than its factorization.

103164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103164 is about 321.1915316443. The cubic root of 103164 is about 46.9003471802.

Adding to 103164 its reverse (461301), we get a palindrome (564465).

The spelling of 103164 in words is "one hundred three thousand, one hundred sixty-four".