105823 has 8 divisors (see below), whose sum is σ = 114048. Its totient is φ = 97944.

The previous prime is 105817. The next prime is 105829. The reversal of 105823 is 328501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105817) and next prime (105829).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105823 is a prime.

It is a super-2 number, since 2×105823² = 22397014658, 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 105823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936 + ... + 1042.

It is an arithmetic number, because the mean of its divisors is an integer number (14256).

2¹⁰⁵⁸²³ is an apocalyptic number.

105823 is a deficient number, since it is larger than the sum of its proper divisors (8225).

105823 is a wasteful number, since it uses less digits than its factorization.

105823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105823 is about 325.3044727636. The cubic root of 105823 is about 47.2998782750.

It can be divided in two parts, 10582 and 3, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 105823 in words is "one hundred five thousand, eight hundred twenty-three".