10006524300 has 72 divisors (see below), whose sum is σ = 28979648656. Its totient is φ = 2665877760.

The previous prime is 10006524289. The next prime is 10006524301. The reversal of 10006524300 is 342560001.

It is a happy number.

10006524300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10006524301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312642 + ... + 343158.

Almost surely, 2^10006524300 is an apocalyptic number.

10006524300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006524300 is an abundant number, since it is smaller than the sum of its proper divisors (18973124356).

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

10006524300 is a wasteful number, since it uses less digits than its factorization.

10006524300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31627 (or 31620 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 10006524300 in words is "ten billion, six million, five hundred twenty-four thousand, three hundred".