10388100800 has 168 divisors, whose sum is σ = 31868912640. Its totient is φ = 3237811200.

The previous prime is 10388100781. The next prime is 10388100829. The reversal of 10388100800 is 800188301.

It is a happy number.

10388100800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 81041 + ... + 165359.

Almost surely, 2^10388100800 is an apocalyptic number.

10388100800 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 10388100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934456320).

10388100800 is an abundant number, since it is smaller than the sum of its proper divisors (21480811840).

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

10388100800 is a wasteful number, since it uses less digits than its factorization.

10388100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84359 (or 84344 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The spelling of 10388100800 in words is "ten billion, three hundred eighty-eight million, one hundred thousand, eight hundred".