105825 has 24 divisors (see below), whose sum is σ = 187488. Its totient is φ = 52480.

The previous prime is 105817. The next prime is 105829. The reversal of 105825 is 528501.

105825 = 68² + 69² + ... + 85².

It is not a de Polignac number, because 105825 - 2³ = 105817 is a prime.

It is a super-2 number, since 2×105825² = 22397861250, 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 105825.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234 + ... + 1316.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹⁰⁵⁸²⁵ is an apocalyptic number.

105825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105825 is a deficient number, since it is larger than the sum of its proper divisors (81663).

105825 is a wasteful number, since it uses less digits than its factorization.

105825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

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

The square root of 105825 is about 325.3075467923. The cubic root of 105825 is about 47.3001762542.

The spelling of 105825 in words is "one hundred five thousand, eight hundred twenty-five".