10006000 has 40 divisors (see below), whose sum is σ = 24199344. Its totient is φ = 4001600.

The previous prime is 10005997. The next prime is 10006001. The reversal of 10006000 is 60001.

10006000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 502 + ... + 4501.

Almost surely, 2^10006000 is an apocalyptic number.

10006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006000 is an abundant number, since it is smaller than the sum of its proper divisors (14193344).

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

10006000 is an equidigital number, since it uses as much as digits as its factorization.

10006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5010 counting only the distinct ones).

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

The square root of 10006000 is about 3163.2262012066. The cubic root of 10006000 is about 215.4865490821.

Adding to 10006000 its reverse (60001), we get a palindrome (10066001).

The spelling of 10006000 in words is "ten million, six thousand".