10007004 has 24 divisors (see below), whose sum is σ = 26685568. Its totient is φ = 2859120.

The previous prime is 10006987. The next prime is 10007021. The reversal of 10007004 is 40070001.

10007004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10006987) and next prime (10007021).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59482 + ... + 59649.

Almost surely, 2^10007004 is an apocalyptic number.

10007004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10007004 is an abundant number, since it is smaller than the sum of its proper divisors (16678564).

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

10007004 is a wasteful number, since it uses less digits than its factorization.

10007004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119145 (or 119143 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10007004 is about 3163.3848959619. The cubic root of 10007004 is about 215.4937561332.

Adding to 10007004 its reverse (40070001), we get a palindrome (50077005).

The spelling of 10007004 in words is "ten million, seven thousand, four".