105579 has 6 divisors (see below), whose sum is σ = 152516. Its totient is φ = 70380.

The previous prime is 105563. The next prime is 105601. The reversal of 105579 is 975501.

It is not a de Polignac number, because 105579 - 2⁴ = 105563 is a prime.

It is a super-2 number, since 2×105579² = 22293850482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105509) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5857 + ... + 5874.

2¹⁰⁵⁵⁷⁹ is an apocalyptic number.

105579 is a deficient number, since it is larger than the sum of its proper divisors (46937).

105579 is a wasteful number, since it uses less digits than its factorization.

105579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11737 (or 11734 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 105579 is about 324.9292230625. The cubic root of 105579 is about 47.2634966063.

The spelling of 105579 in words is "one hundred five thousand, five hundred seventy-nine".