105590 has 8 divisors (see below), whose sum is σ = 190080. Its totient is φ = 42232.

The previous prime is 105563. The next prime is 105601. The reversal of 105590 is 95501.

105590 is nontrivially palindromic in base 14.

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

It is a super-2 number, since 2×105590² = 22298496200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

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, 5270 + ... + 5289.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2¹⁰⁵⁵⁹⁰ is an apocalyptic number.

105590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105590 is a deficient number, since it is larger than the sum of its proper divisors (84490).

105590 is a wasteful number, since it uses less digits than its factorization.

105590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10566.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 105590 is about 324.9461493848. The cubic root of 105590 is about 47.2651379694.

Subtracting from 105590 its sum of digits (20), we obtain a triangular number (105570 = T₄₅₉).

The spelling of 105590 in words is "one hundred five thousand, five hundred ninety".