105812 has 12 divisors (see below), whose sum is σ = 211680. Its totient is φ = 45336.

The previous prime is 105769. The next prime is 105817. The reversal of 105812 is 218501.

105812 is an admirable number.

It is a super-2 number, since 2×105812² = 22392358688, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105812.

It is not an unprimeable number, because it can be changed into a prime (105817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1862 + ... + 1917.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2¹⁰⁵⁸¹² is an apocalyptic number.

It is an amenable number.

105812 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105812 is a wasteful number, since it uses less digits than its factorization.

105812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 105812 is about 325.2875650866. The cubic root of 105812 is about 47.2982393223.

The spelling of 105812 in words is "one hundred five thousand, eight hundred twelve".