10105825 has 12 divisors (see below), whose sum is σ = 12571120. Its totient is φ = 8058960.

The previous prime is 10105819. The next prime is 10105841. The reversal of 10105825 is 52850101.

10105825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105825 - 2⁵ = 10105793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10105796 and 10105805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13306 + ... + 14044.

Almost surely, 2^10105825 is an apocalyptic number.

It is an amenable number.

10105825 is a deficient number, since it is larger than the sum of its proper divisors (2465295).

10105825 is an equidigital number, since it uses as much as digits as its factorization.

10105825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 10105825 is about 3178.9660268710. The cubic root of 10105825 is about 216.2007806724.

Adding to 10105825 its reverse (52850101), we get a palindrome (62955926).

The spelling of 10105825 in words is "ten million, one hundred five thousand, eight hundred twenty-five".