106164 has 24 divisors (see below), whose sum is σ = 275520. Its totient is φ = 35352.

The previous prime is 106163. The next prime is 106181. The reversal of 106164 is 461601.

It is a super-2 number, since 2×106164² = 22541589792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 106164.

It is not an unprimeable number, because it can be changed into a prime (106163) 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, 384 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (11480).

2¹⁰⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

106164 is an abundant number, since it is smaller than the sum of its proper divisors (169356).

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

106164 is a wasteful number, since it uses less digits than its factorization.

106164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106164 is about 325.8281755773. The cubic root of 106164 is about 47.3506295757.

Adding to 106164 its reverse (461601), we get a palindrome (567765).

The spelling of 106164 in words is "one hundred six thousand, one hundred sixty-four".