108705 has 8 divisors (see below), whose sum is σ = 173952. Its totient is φ = 57968.

The previous prime is 108677. The next prime is 108707. The reversal of 108705 is 507801.

It is a happy number.

108705 is nontrivially palindromic in base 16.

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 108705 - 2⁹ = 108193 is a prime.

It is an Ulam number.

It is a Curzon number.

108705 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (108707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3609 + ... + 3638.

It is an arithmetic number, because the mean of its divisors is an integer number (21744).

2¹⁰⁸⁷⁰⁵ is an apocalyptic number.

108705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108705 is a deficient number, since it is larger than the sum of its proper divisors (65247).

108705 is an equidigital number, since it uses as much as digits as its factorization.

108705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 108705 is about 329.7044130733. The cubic root of 108705 is about 47.7254289125.

The spelling of 108705 in words is "one hundred eight thousand, seven hundred five".