105938 has 24 divisors (see below), whose sum is σ = 196992. Its totient is φ = 42504.

The previous prime is 105929. The next prime is 105943. The reversal of 105938 is 839501.

It is a super-2 number, since 2×105938² = 22445719688, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2231 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2¹⁰⁵⁹³⁸ is an apocalyptic number.

105938 is a deficient number, since it is larger than the sum of its proper divisors (91054).

105938 is a wasteful number, since it uses less digits than its factorization.

105938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 79 counting only the distinct ones).

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

The square root of 105938 is about 325.4811822518. The cubic root of 105938 is about 47.3170059845.

It can be divided in two parts, 10593 and 8, that added together give a palindrome (10601).

The spelling of 105938 in words is "one hundred five thousand, nine hundred thirty-eight".