105282 has 12 divisors (see below), whose sum is σ = 228150. Its totient is φ = 35088.

The previous prime is 105277. The next prime is 105319. The reversal of 105282 is 282501.

It can be written as a sum of positive squares in only one way, i.e., 95481 + 9801 = 309^2 + 99^2 .

It is a super-2 number, since 2×105282² = 22168599048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5849 = 105282 / (1 + 0 + 5 + 2 + 8 + 2).

It is a nialpdrome in base 11.

It is an unprimeable number.

105282 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2907 + ... + 2942.

2¹⁰⁵²⁸² is an apocalyptic number.

105282 is an abundant number, since it is smaller than the sum of its proper divisors (122868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105282 is a wasteful number, since it uses less digits than its factorization.

105282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105282 is about 324.4718785966. The cubic root of 105282 is about 47.2191366432.

Adding to 105282 its reverse (282501), we get a palindrome (387783).

The spelling of 105282 in words is "one hundred five thousand, two hundred eighty-two".