10006004 has 6 divisors (see below), whose sum is σ = 17510514. Its totient is φ = 5003000.

The previous prime is 10006001. The next prime is 10006039. The reversal of 10006004 is 40060001.

It can be written as a sum of positive squares in only one way, i.e., 9909904 + 96100 = 3148^2 + 310^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250747 + ... + 1250754.

It is an arithmetic number, because the mean of its divisors is an integer number (2918419).

Almost surely, 2^10006004 is an apocalyptic number.

It is an amenable number.

10006004 is a deficient number, since it is larger than the sum of its proper divisors (7504510).

10006004 is a wasteful number, since it uses less digits than its factorization.

10006004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501505 (or 2501503 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10006004 is about 3163.2268334724. The cubic root of 10006004 is about 215.4865777964.

Adding to 10006004 its reverse (40060001), we get a palindrome (50066005).

The spelling of 10006004 in words is "ten million, six thousand, four".