105836 has 6 divisors (see below), whose sum is σ = 185220. Its totient is φ = 52916.

The previous prime is 105829. The next prime is 105863. The reversal of 105836 is 638501.

It is a super-2 number, since 2×105836² = 22402517792, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105836.

It is an unprimeable number.

105836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13226 + ... + 13233.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2¹⁰⁵⁸³⁶ is an apocalyptic number.

It is an amenable number.

105836 is a deficient number, since it is larger than the sum of its proper divisors (79384).

105836 is a wasteful number, since it uses less digits than its factorization.

105836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26463 (or 26461 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105836 is about 325.3244534307. The cubic root of 105836 is about 47.3018150728.

The spelling of 105836 in words is "one hundred five thousand, eight hundred thirty-six".