105785 has 4 divisors (see below), whose sum is σ = 126948. Its totient is φ = 84624.

The previous prime is 105769. The next prime is 105817. The reversal of 105785 is 587501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 587501 = 313 ⋅1877.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 89401 = 128^2 + 299^2 .

It is a cyclic number.

It is not a de Polignac number, because 105785 - 2⁴ = 105769 is a prime.

It is a super-2 number, since 2×105785² = 22380932450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon 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, 10574 + ... + 10583.

It is an arithmetic number, because the mean of its divisors is an integer number (31737).

2¹⁰⁵⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

105785 is a deficient number, since it is larger than the sum of its proper divisors (21163).

105785 is an equidigital number, since it uses as much as digits as its factorization.

105785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21162.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 105785 is about 325.2460606987. The cubic root of 105785 is about 47.2942159566.

The spelling of 105785 in words is "one hundred five thousand, seven hundred eighty-five".