105820839 has 12 divisors (see below), whose sum is σ = 153953800. Its totient is φ = 70038864.

The previous prime is 105820789. The next prime is 105820867. The reversal of 105820839 is 938028501.

It is not a de Polignac number, because 105820839 - 2⁹ = 105820327 is a prime.

It is a super-2 number, since 2×105820839² = 22396099933327842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105820879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41044 + ... + 43545.

Almost surely, 2^105820839 is an apocalyptic number.

105820839 is a deficient number, since it is larger than the sum of its proper divisors (48132961).

105820839 is a wasteful number, since it uses less digits than its factorization.

105820839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84734 (or 84731 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 105820839 is about 10286.9256340269. The cubic root of 105820839 is about 472.9955630429.

The spelling of 105820839 in words is "one hundred five million, eight hundred twenty thousand, eight hundred thirty-nine".