105845 has 4 divisors (see below), whose sum is σ = 127020. Its totient is φ = 84672.

The previous prime is 105829. The next prime is 105863. The reversal of 105845 is 548501.

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 77284 + 28561 = 278^2 + 169^2 .

It is a cyclic number.

It is not a de Polignac number, because 105845 - 2⁴ = 105829 is a prime.

It is a super-2 number, since 2×105845² = 22406328050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10580 + ... + 10589.

It is an arithmetic number, because the mean of its divisors is an integer number (31755).

2¹⁰⁵⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

105845 is a deficient number, since it is larger than the sum of its proper divisors (21175).

105845 is an equidigital number, since it uses as much as digits as its factorization.

105845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21174.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 105845 is about 325.3382854814. The cubic root of 105845 is about 47.3031558398.

The spelling of 105845 in words is "one hundred five thousand, eight hundred forty-five".