10006007 has 4 divisors (see below), whose sum is σ = 10915656. Its totient is φ = 9096360.

The previous prime is 10006001. The next prime is 10006039. The reversal of 10006007 is 70060001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10006007 - 2¹⁰ = 10004983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10005982 and 10006000.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454808 + ... + 454829.

It is an arithmetic number, because the mean of its divisors is an integer number (2728914).

Almost surely, 2^10006007 is an apocalyptic number.

10006007 is a deficient number, since it is larger than the sum of its proper divisors (909649).

10006007 is an equidigital number, since it uses as much as digits as its factorization.

10006007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909648.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 10006007 is about 3163.2273076717. The cubic root of 10006007 is about 215.4865993322.

Adding to 10006007 its reverse (70060001), we get a palindrome (80066008).

It can be divided in two parts, 1000 and 6007, that added together give a palindrome (7007).

The spelling of 10006007 in words is "ten million, six thousand, seven".