105832 has 8 divisors (see below), whose sum is σ = 198450. Its totient is φ = 52912.

The previous prime is 105829. The next prime is 105863. The reversal of 105832 is 238501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 51076 = 234^2 + 226^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105832² = 22400824448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6607 + ... + 6622.

2¹⁰⁵⁸³² is an apocalyptic number.

It is an amenable number.

105832 is a deficient number, since it is larger than the sum of its proper divisors (92618).

105832 is a wasteful number, since it uses less digits than its factorization.

105832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13235 (or 13231 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105832 is about 325.3183056639. The cubic root of 105832 is about 47.3012191519.

It can be divided in two parts, 10583 and 2, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 105832 in words is "one hundred five thousand, eight hundred thirty-two".