105810906 has 16 divisors (see below), whose sum is σ = 211723200. Its totient is φ = 35253408.

The previous prime is 105810893. The next prime is 105810979. The reversal of 105810906 is 609018501.

It is a happy number.

It is a super-2 number, since 2×105810906² = 22391895657081672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20275 + ... + 24953.

It is an arithmetic number, because the mean of its divisors is an integer number (13232700).

Almost surely, 2^105810906 is an apocalyptic number.

105810906 is an abundant number, since it is smaller than the sum of its proper divisors (105912294).

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

105810906 is a wasteful number, since it uses less digits than its factorization.

105810906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 105810906 is about 10286.4428253892. The cubic root of 105810906 is about 472.9807631478.

The spelling of 105810906 in words is "one hundred five million, eight hundred ten thousand, nine hundred six".