105839 has 4 divisors (see below), whose sum is σ = 106920. Its totient is φ = 104760.

The previous prime is 105829. The next prime is 105863. The reversal of 105839 is 938501.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 938501 = 463 ⋅2027.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105839 is a prime.

It is a super-2 number, since 2×105839² = 22403787842, 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 (105829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 377 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (26730).

2¹⁰⁵⁸³⁹ is an apocalyptic number.

105839 is a deficient number, since it is larger than the sum of its proper divisors (1081).

105839 is an equidigital number, since it uses as much as digits as its factorization.

105839 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105839 is about 325.3290641796. The cubic root of 105839 is about 47.3022620036.

The spelling of 105839 in words is "one hundred five thousand, eight hundred thirty-nine".