10005200100 has 432 divisors, whose sum is σ = 38705022720. Its totient is φ = 2111155200.

The previous prime is 10005200099. The next prime is 10005200159. The reversal of 10005200100 is 100250001.

It is a happy number.

10005200100 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 an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4200910 + ... + 4203290.

It is an arithmetic number, because the mean of its divisors is an integer number (89594960).

Almost surely, 2^10005200100 is an apocalyptic number.

10005200100 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 10005200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19352511360).

10005200100 is an abundant number, since it is smaller than the sum of its proper divisors (28699822620).

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

10005200100 is a wasteful number, since it uses less digits than its factorization.

10005200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

Adding to 10005200100 its reverse (100250001), we get a palindrome (10105450101).

The spelling of 10005200100 in words is "ten billion, five million, two hundred thousand, one hundred".