105409 has 4 divisors (see below), whose sum is σ = 110016. Its totient is φ = 100804.

The previous prime is 105407. The next prime is 105437. The reversal of 105409 is 904501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105409 - 2¹ = 105407 is a prime.

It is a super-2 number, since 2×105409² = 22222114562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2269 + ... + 2314.

It is an arithmetic number, because the mean of its divisors is an integer number (27504).

2¹⁰⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

105409 is a deficient number, since it is larger than the sum of its proper divisors (4607).

105409 is an equidigital number, since it uses as much as digits as its factorization.

105409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105409 is about 324.6675222439. The cubic root of 105409 is about 47.2381155781.

The spelling of 105409 in words is "one hundred five thousand, four hundred nine".