107589 has 4 divisors (see below), whose sum is σ = 143456. Its totient is φ = 71724.

The previous prime is 107581. The next prime is 107599. The reversal of 107589 is 985701.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 107589 - 2³ = 107581 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17929 + ... + 17934.

It is an arithmetic number, because the mean of its divisors is an integer number (35864).

2¹⁰⁷⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

107589 is a deficient number, since it is larger than the sum of its proper divisors (35867).

107589 is an equidigital number, since it uses as much as digits as its factorization.

107589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35866.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 107589 is about 328.0076218627. The cubic root of 107589 is about 47.5615453372.

It can be divided in two parts, 107 and 589, that added together give a palindrome (696).

The spelling of 107589 in words is "one hundred seven thousand, five hundred eighty-nine".