105523 has 8 divisors (see below), whose sum is σ = 117936. Its totient is φ = 93600.

The previous prime is 105517. The next prime is 105527. The reversal of 105523 is 325501.

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 105523 - 2⁵ = 105491 is a prime.

It is a super-2 number, since 2×105523² = 22270207058, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 105497 and 105506.

It is not an unprimeable number, because it can be changed into a prime (105527) 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, 493 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2¹⁰⁵⁵²³ is an apocalyptic number.

105523 is a deficient number, since it is larger than the sum of its proper divisors (12413).

105523 is a wasteful number, since it uses less digits than its factorization.

105523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 105523 is about 324.8430390204. The cubic root of 105523 is about 47.2551388082.

The spelling of 105523 in words is "one hundred five thousand, five hundred twenty-three".