105589 has 8 divisors (see below), whose sum is σ = 119520. Its totient is φ = 92400.

The previous prime is 105563. The next prime is 105601. The reversal of 105589 is 985501.

105589 = 4³ + 5³ + ... + 25³.

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

It is not a de Polignac number, because 105589 - 2⁵ = 105557 is a prime.

It is a super-2 number, since 2×105589² = 22298073842, which contains 22 as substring.

It is a Duffinian number.

105589 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105509) 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, 154 + ... + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (14940).

2¹⁰⁵⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

105589 is a deficient number, since it is larger than the sum of its proper divisors (13931).

105589 is a wasteful number, since it uses less digits than its factorization.

105589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 105589 is about 324.9446106646. The cubic root of 105589 is about 47.2649887593.

The spelling of 105589 in words is "one hundred five thousand, five hundred eighty-nine".