105385 has 8 divisors (see below), whose sum is σ = 144576. Its totient is φ = 72240.

The previous prime is 105379. The next prime is 105389. The reversal of 105385 is 583501.

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

It is not a de Polignac number, because 105385 - 2¹⁵ = 72617 is a prime.

It is a super-2 number, since 2×105385² = 22211996450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1471 + ... + 1540.

It is an arithmetic number, because the mean of its divisors is an integer number (18072).

2¹⁰⁵³⁸⁵ is an apocalyptic number.

It is an amenable number.

105385 is a deficient number, since it is larger than the sum of its proper divisors (39191).

105385 is an equidigital number, since it uses as much as digits as its factorization.

105385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105385 is about 324.6305592516. The cubic root of 105385 is about 47.2345301764.

Adding to 105385 its reverse (583501), we get a palindrome (688886).

The spelling of 105385 in words is "one hundred five thousand, three hundred eighty-five".