105623 has 8 divisors (see below), whose sum is σ = 122880. Its totient is φ = 88920.

The previous prime is 105619. The next prime is 105649. The reversal of 105623 is 326501.

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

It is a cyclic number.

It is not a de Polignac number, because 105623 - 2² = 105619 is a prime.

It is a super-2 number, since 2×105623² = 22312436258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105613) 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, 458 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (15360).

2¹⁰⁵⁶²³ is an apocalyptic number.

105623 is a deficient number, since it is larger than the sum of its proper divisors (17257).

105623 is an equidigital number, since it uses as much as digits as its factorization.

105623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105623 is about 324.9969230624. The cubic root of 105623 is about 47.2700613747.

The spelling of 105623 in words is "one hundred five thousand, six hundred twenty-three".