105689 has 4 divisors (see below), whose sum is σ = 111924. Its totient is φ = 99456.

The previous prime is 105683. The next prime is 105691. The reversal of 105689 is 986501.

105689 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 986501 = 41 ⋅24061.

It can be written as a sum of positive squares in 2 ways, for example, as 80089 + 25600 = 283^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 105689 - 2⁴ = 105673 is a prime.

It is a super-2 number, since 2×105689² = 22340329442, which contains 22 as substring.

It is a Duffinian 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, 3092 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (27981).

2¹⁰⁵⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

105689 is a deficient number, since it is larger than the sum of its proper divisors (6235).

105689 is an equidigital number, since it uses as much as digits as its factorization.

105689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 105689 is about 325.0984466281. The cubic root of 105689 is about 47.2799051096.

The spelling of 105689 in words is "one hundred five thousand, six hundred eighty-nine".