10005205 has 16 divisors (see below), whose sum is σ = 13806720. Its totient is φ = 6818112.

The previous prime is 10005179. The next prime is 10005209. The reversal of 10005205 is 50250001.

10005205 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10005205 - 2⁹ = 10004693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5467 + ... + 7063.

It is an arithmetic number, because the mean of its divisors is an integer number (862920).

Almost surely, 2^10005205 is an apocalyptic number.

It is an amenable number.

10005205 is a deficient number, since it is larger than the sum of its proper divisors (3801515).

10005205 is a wasteful number, since it uses less digits than its factorization.

10005205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788.

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

The square root of 10005205 is about 3163.1005358667. The cubic root of 10005205 is about 215.4808419616.

Adding to 10005205 its reverse (50250001), we get a palindrome (60255206).

The spelling of 10005205 in words is "ten million, five thousand, two hundred five".