10004004 has 18 divisors (see below), whose sum is σ = 25287990. Its totient is φ = 3334656.

The previous prime is 10003999. The next prime is 10004017. The reversal of 10004004 is 40040001.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 1004004 = 3000^2 + 1002^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138909 + ... + 138980.

Almost surely, 2^10004004 is an apocalyptic number.

It is an amenable number.

10004004 is an abundant number, since it is smaller than the sum of its proper divisors (15283986).

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

10004004 is a wasteful number, since it uses less digits than its factorization.

10004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277899 (or 277894 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10004004 is about 3162.9106847965. The cubic root of 10004004 is about 215.4722196879.

Adding to 10004004 its reverse (40040001), we get a palindrome (50044005).

The spelling of 10004004 in words is "ten million, four thousand, four".