10006005 has 16 divisors (see below), whose sum is σ = 16055424. Its totient is φ = 5321280.

The previous prime is 10006001. The next prime is 10006039. The reversal of 10006005 is 50060001.

10006005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006005 - 2² = 10006001 is a prime.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 6192 + ... + 7638.

It is an arithmetic number, because the mean of its divisors is an integer number (1003464).

Almost surely, 2^10006005 is an apocalyptic number.

10006005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10006005 is a deficient number, since it is larger than the sum of its proper divisors (6049419).

10006005 is a wasteful number, since it uses less digits than its factorization.

10006005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916.

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

The square root of 10006005 is about 3163.2269915389. The cubic root of 10006005 is about 215.4865849750.

Adding to 10006005 its reverse (50060001), we get a palindrome (60066006).

The spelling of 10006005 in words is "ten million, six thousand, five".