10006 has 4 divisors (see below), whose sum is σ = 15012. Its totient is φ = 5002.

The previous prime is 9973. The next prime is 10007. The reversal of 10006 is 60001.

10006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 60001 = 29 ⋅2069.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007) by changing a digit.

10006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2500 + ... + 2503.

It is an arithmetic number, because the mean of its divisors is an integer number (3753).

2¹⁰⁰⁰⁶ is an apocalyptic number.

10006 is a deficient number, since it is larger than the sum of its proper divisors (5006).

10006 is an equidigital number, since it uses as much as digits as its factorization.

10006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10006 is about 100.0299955013. The cubic root of 10006 is about 21.5486549082.

Adding to 10006 its reverse (60001), we get a palindrome (70007).

The spelling of 10006 in words is "ten thousand, six".