105810939 has 24 divisors (see below), whose sum is σ = 165914112. Its totient is φ = 64592640.

The previous prime is 105810893. The next prime is 105810979. The reversal of 105810939 is 939018501.

It is a happy number.

It is not a de Polignac number, because 105810939 - 2⁷ = 105810811 is a prime.

It is a super-2 number, since 2×105810939² = 22391909624123442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105810979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11299 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (6913088).

Almost surely, 2^105810939 is an apocalyptic number.

105810939 is a deficient number, since it is larger than the sum of its proper divisors (60103173).

105810939 is a wasteful number, since it uses less digits than its factorization.

105810939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 105810939 is about 10286.4444294421. Note that the first 4 decimals coincide. The cubic root of 105810939 is about 472.9808123184.

The spelling of 105810939 in words is "one hundred five million, eight hundred ten thousand, nine hundred thirty-nine".