10006300 has 36 divisors (see below), whose sum is σ = 22186080. Its totient is φ = 3915520.

The previous prime is 10006289. The next prime is 10006303. The reversal of 10006300 is 360001.

10006300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006303) 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, 3636 + ... + 5764.

It is an arithmetic number, because the mean of its divisors is an integer number (616280).

Almost surely, 2^10006300 is an apocalyptic number.

10006300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093040).

10006300 is an abundant number, since it is smaller than the sum of its proper divisors (12179780).

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

10006300 is a wasteful number, since it uses less digits than its factorization.

10006300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10006300 is about 3163.2736207922. The cubic root of 10006300 is about 215.4887026339.

Adding to 10006300 its reverse (360001), we get a palindrome (10366301).

The spelling of 10006300 in words is "ten million, six thousand, three hundred".