105505 has 4 divisors (see below), whose sum is σ = 126612. Its totient is φ = 84400.

The previous prime is 105503. The next prime is 105509. The reversal of 105505 is 505501.

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 30976 + 74529 = 176^2 + 273^2 .

It is not a de Polignac number, because 105505 - 2¹ = 105503 is a prime.

It is a super-2 number, since 2×105505² = 22262610050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10546 + ... + 10555.

It is an arithmetic number, because the mean of its divisors is an integer number (31653).

2¹⁰⁵⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

105505 is a deficient number, since it is larger than the sum of its proper divisors (21107).

105505 is an equidigital number, since it uses as much as digits as its factorization.

105505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21106.

The product of its (nonzero) digits is 125, while the sum is 16.

The square root of 105505 is about 324.8153321504. The cubic root of 105505 is about 47.2524517452.

The spelling of 105505 in words is "one hundred five thousand, five hundred five".