10006200 has 192 divisors, whose sum is σ = 36828000. Its totient is φ = 2488320.

The previous prime is 10006187. The next prime is 10006201. The reversal of 10006200 is 260001.

10006200 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 (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91746 + ... + 91854.

Almost surely, 2^10006200 is an apocalyptic number.

10006200 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 10006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414000).

10006200 is an abundant number, since it is smaller than the sum of its proper divisors (26821800).

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

10006200 is a wasteful number, since it uses less digits than its factorization.

10006200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10006200 is about 3163.2578143427. The cubic root of 10006200 is about 215.4879847881.

Adding to 10006200 its reverse (260001), we get a palindrome (10266201).

The spelling of 10006200 in words is "ten million, six thousand, two hundred".