105164 has 12 divisors (see below), whose sum is σ = 187488. Its totient is φ = 51600.

The previous prime is 105143. The next prime is 105167. The reversal of 105164 is 461501.

It is a happy number.

It is a super-2 number, since 2×105164² = 22118933792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (105167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2¹⁰⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

105164 is a deficient number, since it is larger than the sum of its proper divisors (82324).

105164 is a wasteful number, since it uses less digits than its factorization.

105164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105164 is about 324.2899936785. The cubic root of 105164 is about 47.2014889887.

Adding to 105164 its reverse (461501), we get a palindrome (566665).

The spelling of 105164 in words is "one hundred five thousand, one hundred sixty-four".