105806166 has 16 divisors (see below), whose sum is σ = 211749888. Its totient is φ = 35245800.

The previous prime is 105806143. The next prime is 105806167. The reversal of 105806166 is 661608501.

It is a super-2 number, since 2×105806166² = 22389889527239112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105806167) 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, 6171 + ... + 15801.

It is an arithmetic number, because the mean of its divisors is an integer number (13234368).

Almost surely, 2^105806166 is an apocalyptic number.

105806166 is an abundant number, since it is smaller than the sum of its proper divisors (105943722).

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

105806166 is a wasteful number, since it uses less digits than its factorization.

105806166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11467.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105806166 is about 10286.2124224614. The cubic root of 105806166 is about 472.9737003526.

The spelling of 105806166 in words is "one hundred five million, eight hundred six thousand, one hundred sixty-six".