105813 has 8 divisors (see below), whose sum is σ = 156800. Its totient is φ = 70524.

The previous prime is 105769. The next prime is 105817. The reversal of 105813 is 318501.

It is a happy number.

It is not a de Polignac number, because 105813 - 2⁸ = 105557 is a prime.

It is a super-2 number, since 2×105813² = 22392781938, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1933 + ... + 1986.

It is an arithmetic number, because the mean of its divisors is an integer number (19600).

2¹⁰⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

105813 is a deficient number, since it is larger than the sum of its proper divisors (50987).

105813 is an equidigital number, since it uses as much as digits as its factorization.

105813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 3922 counting only the distinct ones).

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

The square root of 105813 is about 325.2891021845. The cubic root of 105813 is about 47.2983883227.

The spelling of 105813 in words is "one hundred five thousand, eight hundred thirteen".