105005 has 4 divisors (see below), whose sum is σ = 126012. Its totient is φ = 84000.

The previous prime is 104999. The next prime is 105019. The reversal of 105005 is 500501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29929 + 75076 = 173^2 + 274^2 .

It is not a de Polignac number, because 105005 - 2¹⁰ = 103981 is a prime.

It is a super-2 number, since 2×105005² = 22052100050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10496 + ... + 10505.

It is an arithmetic number, because the mean of its divisors is an integer number (31503).

2¹⁰⁵⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

105005 is a deficient number, since it is larger than the sum of its proper divisors (21007).

105005 is an equidigital number, since it uses as much as digits as its factorization.

105005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21006.

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 105005 is about 324.0447499960. The cubic root of 105005 is about 47.1776886316.

Adding to 105005 its reverse (500501), we get a palindrome (605506).

The spelling of 105005 in words is "one hundred five thousand, five".