10005006 has 24 divisors (see below), whose sum is σ = 21996072. Its totient is φ = 3031600.

The previous prime is 10004983. The next prime is 10005007. The reversal of 10005006 is 60050001.

It is a junction number, because it is equal to n+sod(n) for n = 10004982 and 10005000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6165 + ... + 7616.

It is an arithmetic number, because the mean of its divisors is an integer number (916503).

Almost surely, 2^10005006 is an apocalyptic number.

10005006 is an abundant number, since it is smaller than the sum of its proper divisors (11991066).

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

10005006 is a wasteful number, since it uses less digits than its factorization.

10005006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13808 (or 13797 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10005006 is about 3163.0690792330. The cubic root of 10005006 is about 215.4794133395.

Adding to 10005006 its reverse (60050001), we get a palindrome (70055007).

It can be divided in two parts, 1000 and 5006, that added together give a palindrome (6006).

The spelling of 10005006 in words is "ten million, five thousand, six".