105799 has 4 divisors (see below), whose sum is σ = 106480. Its totient is φ = 105120.

The previous prime is 105769. The next prime is 105817. The reversal of 105799 is 997501.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 997501 = 499 ⋅1999.

It is a cyclic number.

It is not a de Polignac number, because 105799 - 2⁵ = 105767 is a prime.

It is a super-2 number, since 2×105799² = 22386856802, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105769) 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, 22 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (26620).

2¹⁰⁵⁷⁹⁹ is an apocalyptic number.

105799 is a deficient number, since it is larger than the sum of its proper divisors (681).

105799 is an equidigital number, since it uses as much as digits as its factorization.

105799 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680.

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 105799 is about 325.2675821535. The cubic root of 105799 is about 47.2963022317.

It can be divided in two parts, 1057 and 99, that added together give a square (1156 = 34²).

The spelling of 105799 in words is "one hundred five thousand, seven hundred ninety-nine".