105686 has 8 divisors (see below), whose sum is σ = 181200. Its totient is φ = 45288.

The previous prime is 105683. The next prime is 105691. The reversal of 105686 is 686501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105686² = 22339061192, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105683) 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, 3761 + ... + 3788.

It is an arithmetic number, because the mean of its divisors is an integer number (22650).

2¹⁰⁵⁶⁸⁶ is an apocalyptic number.

105686 is a deficient number, since it is larger than the sum of its proper divisors (75514).

105686 is an equidigital number, since it uses as much as digits as its factorization.

105686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 105686 is about 325.0938326084. The cubic root of 105686 is about 47.2794577561.

The spelling of 105686 in words is "one hundred five thousand, six hundred eighty-six".