107705 has 8 divisors (see below), whose sum is σ = 139272. Its totient is φ = 79488.

The previous prime is 107699. The next prime is 107713. The reversal of 107705 is 507701.

It can be written as a sum of positive squares in 4 ways, for example, as 121 + 107584 = 11^2 + 328^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107705 - 2⁶ = 107641 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (17409).

2¹⁰⁷⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

107705 is a deficient number, since it is larger than the sum of its proper divisors (31567).

107705 is a wasteful number, since it uses less digits than its factorization.

107705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675.

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

The square root of 107705 is about 328.1843993855. The cubic root of 107705 is about 47.5786324546.

The spelling of 107705 in words is "one hundred seven thousand, seven hundred five".