105284 has 6 divisors (see below), whose sum is σ = 184254. Its totient is φ = 52640.

The previous prime is 105277. The next prime is 105319. The reversal of 105284 is 482501.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 1600 = 322^2 + 40^2 .

It is a super-2 number, since 2×105284² = 22169441312, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105284.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13157 + ... + 13164.

It is an arithmetic number, because the mean of its divisors is an integer number (30709).

2¹⁰⁵²⁸⁴ is an apocalyptic number.

It is an amenable number.

105284 is a deficient number, since it is larger than the sum of its proper divisors (78970).

105284 is a wasteful number, since it uses less digits than its factorization.

105284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26325 (or 26323 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105284 is about 324.4749605131. The cubic root of 105284 is about 47.2194356423.

Adding to 105284 its reverse (482501), we get a palindrome (587785).

The spelling of 105284 in words is "one hundred five thousand, two hundred eighty-four".