105828 has 12 divisors (see below), whose sum is σ = 246960. Its totient is φ = 35272.

The previous prime is 105817. The next prime is 105829. The reversal of 105828 is 828501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105828² = 22399131168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105798 and 105807.

It is not an unprimeable number, because it can be changed into a prime (105829) by changing a digit.

105828 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 3 ways as a sum of consecutive naturals, for example, 4398 + ... + 4421.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2¹⁰⁵⁸²⁸ is an apocalyptic number.

It is an amenable number.

105828 is an abundant number, since it is smaller than the sum of its proper divisors (141132).

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

105828 is a wasteful number, since it uses less digits than its factorization.

105828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 105828 is about 325.3121577808. The cubic root of 105828 is about 47.3006232160.

The spelling of 105828 in words is "one hundred five thousand, eight hundred twenty-eight".