105810 has 16 divisors (see below), whose sum is σ = 254016. Its totient is φ = 28208.

The previous prime is 105769. The next prime is 105817. The reversal of 105810 is 18501.

It is a happy number.

It is a super-2 number, since 2×105810² = 22391512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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

It is a self number, because there is not a number n which added to its sum of digits gives 105810.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105810.

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

105810 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 in 7 ways as a sum of consecutive naturals, for example, 1734 + ... + 1793.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2¹⁰⁵⁸¹⁰ is an apocalyptic number.

105810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105810 is an abundant number, since it is smaller than the sum of its proper divisors (148206).

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

105810 is a wasteful number, since it uses less digits than its factorization.

105810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105810 is about 325.2844908691. The cubic root of 105810 is about 47.2979413187.

The spelling of 105810 in words is "one hundred five thousand, eight hundred ten".