105595 has 12 divisors (see below), whose sum is σ = 147744. Its totient is φ = 72240.

The previous prime is 105563. The next prime is 105601. The reversal of 105595 is 595501.

It is not a de Polignac number, because 105595 - 2⁵ = 105563 is a prime.

It is a super-2 number, since 2×105595² = 22300608050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (12312).

2¹⁰⁵⁵⁹⁵ is an apocalyptic number.

105595 is a deficient number, since it is larger than the sum of its proper divisors (42149).

105595 is an equidigital number, since it uses as much as digits as its factorization.

105595 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 25.

The square root of 105595 is about 324.9538428762. The cubic root of 105595 is about 47.2658840058.

Subtracting from 105595 its sum of digits (25), we obtain a triangular number (105570 = T₄₅₉).

The spelling of 105595 in words is "one hundred five thousand, five hundred ninety-five".