108385 has 8 divisors (see below), whose sum is σ = 132840. Its totient is φ = 84864.

The previous prime is 108379. The next prime is 108401. The reversal of 108385 is 583801.

It can be written as a sum of positive squares in 4 ways, for example, as 42849 + 65536 = 207^2 + 256^2 .

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 108385 - 2³ = 108377 is a prime.

108385 is a lucky number.

It is a congruent 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, 61 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (16605).

2¹⁰⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

108385 is a deficient number, since it is larger than the sum of its proper divisors (24455).

108385 is an equidigital number, since it uses as much as digits as its factorization.

108385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 108385 is about 329.2187722473. The cubic root of 108385 is about 47.6785523580.

The spelling of 108385 in words is "one hundred eight thousand, three hundred eighty-five".