105025 has 6 divisors (see below), whose sum is σ = 130262. Its totient is φ = 84000.

The previous prime is 105023. The next prime is 105031. The reversal of 105025 is 520501.

105025 = 19² + 20² + ... + 68².

It can be written as a sum of positive squares in 3 ways, for example, as 49 + 104976 = 7^2 + 324^2 .

It is not a de Polignac number, because 105025 - 2¹ = 105023 is a prime.

It is a super-2 number, since 2×105025² = 22060501250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104996 and 105014.

It is not an unprimeable number, because it can be changed into a prime (105023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2076 + ... + 2125.

105025 is a Friedman number, since it can be written as 21005*5, using all its digits and the basic arithmetic operations.

2¹⁰⁵⁰²⁵ is an apocalyptic number.

It is an amenable number.

105025 is a deficient number, since it is larger than the sum of its proper divisors (25237).

105025 is an equidigital number, since it uses as much as digits as its factorization.

105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 105025 is about 324.0756084620. The cubic root of 105025 is about 47.1806837076.

Adding to 105025 its reverse (520501), we get a palindrome (625526).

The spelling of 105025 in words is "one hundred five thousand, twenty-five".