100589 has 8 divisors (see below), whose sum is σ = 109368. Its totient is φ = 92160.

The previous prime is 100559. The next prime is 100591. The reversal of 100589 is 985001.

100589 = 37² + 38² + ... + 70².

It can be written as a sum of positive squares in 4 ways, for example, as 4489 + 96100 = 67^2 + 310^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100589 - 2⁸ = 100333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100519) 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, 989 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2¹⁰⁰⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

100589 is a deficient number, since it is larger than the sum of its proper divisors (8779).

100589 is an equidigital number, since it uses as much as digits as its factorization.

100589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 100589 is about 317.1576894858. The cubic root of 100589 is about 46.5068398618.

The spelling of 100589 in words is "one hundred thousand, five hundred eighty-nine".