105833 has 8 divisors (see below), whose sum is σ = 130368. Its totient is φ = 83664.

The previous prime is 105829. The next prime is 105863. The reversal of 105833 is 338501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105833 - 2² = 105829 is a prime.

It is a super-2 number, since 2×105833² = 22401247778, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105833.

It is not an unprimeable number, because it can be changed into a prime (105863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (16296).

2¹⁰⁵⁸³³ is an apocalyptic number.

105833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105833 is a deficient number, since it is larger than the sum of its proper divisors (24535).

105833 is a wasteful number, since it uses less digits than its factorization.

105833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105833 is about 325.3198426165. The cubic root of 105833 is about 47.3013681335.

The spelling of 105833 in words is "one hundred five thousand, eight hundred thirty-three".