105806113 has 16 divisors (see below), whose sum is σ = 129060864. Its totient is φ = 84672000.

The previous prime is 105806093. The next prime is 105806143. The reversal of 105806113 is 311608501.

It is a de Polignac number, because none of the positive numbers 2^k-105806113 is a prime.

It is a super-2 number, since 2×105806113² = 22389867096337538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105806143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11613 + ... + 18613.

It is an arithmetic number, because the mean of its divisors is an integer number (8066304).

Almost surely, 2^105806113 is an apocalyptic number.

It is an amenable number.

105806113 is a deficient number, since it is larger than the sum of its proper divisors (23254751).

105806113 is a wasteful number, since it uses less digits than its factorization.

105806113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 105806113 is about 10286.2098461970. The cubic root of 105806113 is about 472.9736213792.

The spelling of 105806113 in words is "one hundred five million, eight hundred six thousand, one hundred thirteen".