105805668 has 24 divisors (see below), whose sum is σ = 247171680. Its totient is φ = 35226880.

The previous prime is 105805643. The next prime is 105805669. The reversal of 105805668 is 866508501.

It is a super-2 number, since 2×105805668² = 22389678761852448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105805669) 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, 6403 + ... + 15893.

It is an arithmetic number, because the mean of its divisors is an integer number (10298820).

Almost surely, 2^105805668 is an apocalyptic number.

It is an amenable number.

105805668 is an abundant number, since it is smaller than the sum of its proper divisors (141366012).

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

105805668 is a wasteful number, since it uses less digits than its factorization.

105805668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10425 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 105805668 is about 10286.1882152720. The cubic root of 105805668 is about 472.9729582998.

The spelling of 105805668 in words is "one hundred five million, eight hundred five thousand, six hundred sixty-eight".