105723 has 12 divisors (see below), whose sum is σ = 161928. Its totient is φ = 66240.

The previous prime is 105701. The next prime is 105727. The reversal of 105723 is 327501.

It is not a de Polignac number, because 105723 - 2⁵ = 105691 is a prime.

It is a super-2 number, since 2×105723² = 22354705458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105696 and 105705.

It is not an unprimeable number, because it can be changed into a prime (105727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (13494).

105723 is a Friedman number, since it can be written as 2073*51, using all its digits and the basic arithmetic operations.

2¹⁰⁵⁷²³ is an apocalyptic number.

105723 is a deficient number, since it is larger than the sum of its proper divisors (56205).

105723 is a wasteful number, since it uses less digits than its factorization.

105723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 105723 is about 325.1507342757. The cubic root of 105723 is about 47.2849745253.

It can be divided in two parts, 105 and 723, that added together give a palindrome (828).

The spelling of 105723 in words is "one hundred five thousand, seven hundred twenty-three".