105908 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 45920.

The previous prime is 105907. The next prime is 105913. The reversal of 105908 is 809501.

It is a super-2 number, since 2×105908² = 22433008928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105907) 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, 1235 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁰⁵⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

105908 is a deficient number, since it is larger than the sum of its proper divisors (105772).

105908 is a wasteful number, since it uses less digits than its factorization.

105908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 105908 is about 325.4350933750. The cubic root of 105908 is about 47.3125390818.

The spelling of 105908 in words is "one hundred five thousand, nine hundred eight".