105231168 has 84 divisors (see below), whose sum is σ = 344728800. Its totient is φ = 30064896.

The previous prime is 105231163. The next prime is 105231199. The reversal of 105231168 is 861132501.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×105231168² = 22147197437288448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105231163) 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 in 11 ways as a sum of consecutive naturals, for example, 9018 + ... + 17081.

Almost surely, 2^105231168 is an apocalyptic number.

105231168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105231168 is an abundant number, since it is smaller than the sum of its proper divisors (239497632).

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

105231168 is a wasteful number, since it uses less digits than its factorization.

105231168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26124 (or 26111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105231168 is about 10258.2244077618. The cubic root of 105231168 is about 472.1153601013.

Adding to 105231168 its reverse (861132501), we get a palindrome (966363669).

The spelling of 105231168 in words is "one hundred five million, two hundred thirty-one thousand, one hundred sixty-eight".