105565 has 8 divisors (see below), whose sum is σ = 129888. Its totient is φ = 82320.

The previous prime is 105563. The next prime is 105601. The reversal of 105565 is 565501.

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

It is not a de Polignac number, because 105565 - 2¹ = 105563 is a prime.

It is a super-3 number, since 3×105565³ = 3529239333711375, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105563) 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, 31 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (16236).

2¹⁰⁵⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

105565 is a deficient number, since it is larger than the sum of its proper divisors (24323).

105565 is an equidigital number, since it uses as much as digits as its factorization.

105565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105565 is about 324.9076791952. The cubic root of 105565 is about 47.2614074339.

The spelling of 105565 in words is "one hundred five thousand, five hundred sixty-five".