106589 has 4 divisors (see below), whose sum is σ = 121824. Its totient is φ = 91356.

The previous prime is 106543. The next prime is 106591. The reversal of 106589 is 985601.

106589 = T₁₇₁ + T₁₇₂ + ... + T₁₇₇.

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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106589 is a prime.

It is a super-2 number, since 2×106589² = 22722429842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106589.

It is not an unprimeable number, because it can be changed into a prime (106189) 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, 7607 + ... + 7620.

It is an arithmetic number, because the mean of its divisors is an integer number (30456).

2¹⁰⁶⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

106589 is a deficient number, since it is larger than the sum of its proper divisors (15235).

106589 is an equidigital number, since it uses as much as digits as its factorization.

106589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15234.

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

The square root of 106589 is about 326.4797084047. The cubic root of 106589 is about 47.4137307631.

The spelling of 106589 in words is "one hundred six thousand, five hundred eighty-nine".