105123164 has 6 divisors (see below), whose sum is σ = 183965544. Its totient is φ = 52561580.

The previous prime is 105123163. The next prime is 105123169. The reversal of 105123164 is 461321501.

It is a super-2 number, since 2×105123164² = 22101759218741792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105123163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13140392 + ... + 13140399.

It is an arithmetic number, because the mean of its divisors is an integer number (30660924).

Almost surely, 2^105123164 is an apocalyptic number.

It is an amenable number.

105123164 is a deficient number, since it is larger than the sum of its proper divisors (78842380).

105123164 is a wasteful number, since it uses less digits than its factorization.

105123164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26280795 (or 26280793 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105123164 is about 10252.9587924657. The cubic root of 105123164 is about 471.9537862922.

Adding to 105123164 its reverse (461321501), we get a palindrome (566444665).

The spelling of 105123164 in words is "one hundred five million, one hundred twenty-three thousand, one hundred sixty-four".