105593 has 4 divisors (see below), whose sum is σ = 110208. Its totient is φ = 100980.

The previous prime is 105563. The next prime is 105601. The reversal of 105593 is 395501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 395501 = 67 ⋅5903.

It is a cyclic number.

It is not a de Polignac number, because 105593 - 2⁶ = 105529 is a prime.

It is a super-2 number, since 2×105593² = 22299763298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23), and also a Moran number because the ratio is a prime number: 4591 = 105593 / (1 + 0 + 5 + 5 + 9 + 3).

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105593.

It is not an unprimeable number, because it can be changed into a prime (105503) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2273 + ... + 2318.

It is an arithmetic number, because the mean of its divisors is an integer number (27552).

2¹⁰⁵⁵⁹³ is an apocalyptic number.

It is an amenable number.

105593 is a deficient number, since it is larger than the sum of its proper divisors (4615).

105593 is an equidigital number, since it uses as much as digits as its factorization.

105593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 105593 is about 324.9507655015. The cubic root of 105593 is about 47.2655855941.

Subtracting from 105593 its sum of digits (23), we obtain a triangular number (105570 = T₄₅₉).

The spelling of 105593 in words is "one hundred five thousand, five hundred ninety-three".