105285 has 8 divisors (see below), whose sum is σ = 168480. Its totient is φ = 56144.

The previous prime is 105277. The next prime is 105319. The reversal of 105285 is 582501.

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 105285 - 2³ = 105277 is a prime.

It is a super-2 number, since 2×105285² = 22169862450, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105285.

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, 3495 + ... + 3524.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2¹⁰⁵²⁸⁵ is an apocalyptic number.

105285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105285 is a deficient number, since it is larger than the sum of its proper divisors (63195).

105285 is an equidigital number, since it uses as much as digits as its factorization.

105285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7027.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105285 is about 324.4765014604. The cubic root of 105285 is about 47.2195851404.

Adding to 105285 its reverse (582501), we get a palindrome (687786).

The spelling of 105285 in words is "one hundred five thousand, two hundred eighty-five".