10005204 has 24 divisors (see below), whose sum is σ = 25468128. Its totient is φ = 3031840.

The previous prime is 10005179. The next prime is 10005209. The reversal of 10005204 is 40250001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10005204.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37767 + ... + 38030.

It is an arithmetic number, because the mean of its divisors is an integer number (1061172).

Almost surely, 2^10005204 is an apocalyptic number.

It is an amenable number.

10005204 is an abundant number, since it is smaller than the sum of its proper divisors (15462924).

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

10005204 is a wasteful number, since it uses less digits than its factorization.

10005204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75815 (or 75813 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10005204 is about 3163.1003777939. The cubic root of 10005204 is about 215.4808347826.

Adding to 10005204 its reverse (40250001), we get a palindrome (50255205).

The spelling of 10005204 in words is "ten million, five thousand, two hundred four".