105509 has 2 divisors, whose sum is σ = 105510. Its totient is φ = 105508.

The previous prime is 105503. The next prime is 105517. The reversal of 105509 is 905501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96100 + 9409 = 310^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 105509 - 2⁸ = 105253 is a prime.

It is a super-2 number, since 2×105509² = 22264298162, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52754 + 52755.

It is an arithmetic number, because the mean of its divisors is an integer number (52755).

2¹⁰⁵⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

105509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105509 is an equidigital number, since it uses as much as digits as its factorization.

105509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 105509 is about 324.8214894369. The cubic root of 105509 is about 47.2530488967.

The spelling of 105509 in words is "one hundred five thousand, five hundred nine".