105831 has 12 divisors (see below), whose sum is σ = 166920. Its totient is φ = 64080.

The previous prime is 105829. The next prime is 105863. The reversal of 105831 is 138501.

It is a happy number.

It is not a de Polignac number, because 105831 - 2¹ = 105829 is a prime.

It is a super-2 number, since 2×105831² = 22400401122, which contains 22 as substring.

105831 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105871) 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, 436 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (13910).

2¹⁰⁵⁸³¹ is an apocalyptic number.

105831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105831 is a deficient number, since it is larger than the sum of its proper divisors (61089).

105831 is a wasteful number, since it uses less digits than its factorization.

105831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105831 is about 325.3167687040. The cubic root of 105831 is about 47.3010701693.

It can be divided in two parts, 1058 and 31, that added together give a square (1089 = 33²).

The spelling of 105831 in words is "one hundred five thousand, eight hundred thirty-one".