106565 has 4 divisors (see below), whose sum is σ = 127884. Its totient is φ = 85248.

The previous prime is 106543. The next prime is 106591. The reversal of 106565 is 565601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 565601 = 109 ⋅5189.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 73441 = 182^2 + 271^2 .

It is a cyclic number.

It is not a de Polignac number, because 106565 - 2⁶ = 106501 is a prime.

It is a super-2 number, since 2×106565² = 22712198450, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106565.

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 106565.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10652 + ... + 10661.

It is an arithmetic number, because the mean of its divisors is an integer number (31971).

2¹⁰⁶⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

106565 is a deficient number, since it is larger than the sum of its proper divisors (21319).

106565 is an equidigital number, since it uses as much as digits as its factorization.

106565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21318.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 106565 is about 326.4429506055. The cubic root of 106565 is about 47.4101718750.

The spelling of 106565 in words is "one hundred six thousand, five hundred sixty-five".