105707 has 4 divisors (see below), whose sum is σ = 120816. Its totient is φ = 90600.

The previous prime is 105701. The next prime is 105727. The reversal of 105707 is 707501.

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

It is a cyclic number.

It is not a de Polignac number, because 105707 - 2⁴ = 105691 is a prime.

It is a super-2 number, since 2×105707² = 22347939698, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105707.

It is not an unprimeable number, because it can be changed into a prime (105701) by changing a digit.

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, 7544 + ... + 7557.

It is an arithmetic number, because the mean of its divisors is an integer number (30204).

2¹⁰⁵⁷⁰⁷ is an apocalyptic number.

105707 is a deficient number, since it is larger than the sum of its proper divisors (15109).

105707 is an equidigital number, since it uses as much as digits as its factorization.

105707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15108.

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 105707 is about 325.1261293714. The cubic root of 105707 is about 47.2825890534.

The spelling of 105707 in words is "one hundred five thousand, seven hundred seven".