105591 has 8 divisors (see below), whose sum is σ = 143344. Its totient is φ = 69120.

The previous prime is 105563. The next prime is 105601. The reversal of 105591 is 195501.

It is a happy number.

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

It is not a de Polignac number, because 105591 - 2⁶ = 105527 is a prime.

It is a super-2 number, since 2×105591² = 22298918562, 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 105591.

It is not an unprimeable number, because it can be changed into a prime (105541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (17918).

2¹⁰⁵⁵⁹¹ is an apocalyptic number.

105591 is a deficient number, since it is larger than the sum of its proper divisors (37753).

105591 is an equidigital number, since it uses as much as digits as its factorization.

105591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641.

The product of its (nonzero) digits is 225, while the sum is 21.

The square root of 105591 is about 324.9476880976. The cubic root of 105591 is about 47.2652871786.

Subtracting from 105591 its sum of digits (21), we obtain a triangular number (105570 = T₄₅₉).

It can be divided in two parts, 105 and 591, that added together give a palindrome (696).

The spelling of 105591 in words is "one hundred five thousand, five hundred ninety-one".