105168920 has 16 divisors (see below), whose sum is σ = 236630160. Its totient is φ = 42067552.

The previous prime is 105168887. The next prime is 105168923. The reversal of 105168920 is 29861501.

It is a super-2 number, since 2×105168920² = 22121003467932800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105168923) 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, 1314572 + ... + 1314651.

It is an arithmetic number, because the mean of its divisors is an integer number (14789385).

Almost surely, 2^105168920 is an apocalyptic number.

105168920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105168920 is an abundant number, since it is smaller than the sum of its proper divisors (131461240).

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

105168920 is a wasteful number, since it uses less digits than its factorization.

105168920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629234 (or 2629230 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 105168920 is about 10255.1899056039. The cubic root of 105168920 is about 472.0222506986.

The spelling of 105168920 in words is "one hundred five million, one hundred sixty-eight thousand, nine hundred twenty".