105605 has 4 divisors (see below), whose sum is σ = 126732. Its totient is φ = 84480.

The previous prime is 105601. The next prime is 105607. The reversal of 105605 is 506501.

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 58081 + 47524 = 241^2 + 218^2 .

It is not a de Polignac number, because 105605 - 2² = 105601 is a prime.

It is a super-2 number, since 2×105605² = 22304832050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105601) 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, 10556 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (31683).

2¹⁰⁵⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

105605 is a deficient number, since it is larger than the sum of its proper divisors (21127).

105605 is an equidigital number, since it uses as much as digits as its factorization.

105605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21126.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105605 is about 324.9692293126. The cubic root of 105605 is about 47.2673760080.

The spelling of 105605 in words is "one hundred five thousand, six hundred five".