105939 has 12 divisors (see below), whose sum is σ = 156000. Its totient is φ = 69264.

The previous prime is 105929. The next prime is 105943. The reversal of 105939 is 939501.

105939 = T₇ + T₈ + ... + T₈₅.

It is not a de Polignac number, because 105939 - 2⁵ = 105907 is a prime.

It is a super-2 number, since 2×105939² = 22446143442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (13000).

2¹⁰⁵⁹³⁹ is an apocalyptic number.

105939 is a deficient number, since it is larger than the sum of its proper divisors (50061).

105939 is a wasteful number, since it uses less digits than its factorization.

105939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 105939 is about 325.4827184352. The cubic root of 105939 is about 47.3171548667.

The spelling of 105939 in words is "one hundred five thousand, nine hundred thirty-nine".