105806 has 4 divisors (see below), whose sum is σ = 158712. Its totient is φ = 52902.

The previous prime is 105769. The next prime is 105817. The reversal of 105806 is 608501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 608501 = 467 ⋅1303.

It is a super-2 number, since 2×105806² = 22389819272, which contains 22 as substring.

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 105806.

It is an unprimeable number.

105806 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 as a sum of consecutive naturals, namely, 26450 + ... + 26453.

It is an arithmetic number, because the mean of its divisors is an integer number (39678).

2¹⁰⁵⁸⁰⁶ is an apocalyptic number.

105806 is a deficient number, since it is larger than the sum of its proper divisors (52906).

105806 is an equidigital number, since it uses as much as digits as its factorization.

105806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52905.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 105806 is about 325.2783423470. The cubic root of 105806 is about 47.2973453002.

The spelling of 105806 in words is "one hundred five thousand, eight hundred six".