100909969800 has 192 divisors, whose sum is σ = 318454796160. Its totient is φ = 26426112000.

The previous prime is 100909969781. The next prime is 100909969807. The reversal of 100909969800 is 8969909001.

100909969800 is digitally balanced in base 3, 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 (100909969807) 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, 27850789 + ... + 27854411.

It is an arithmetic number, because the mean of its divisors is an integer number (1658618730).

Almost surely, 2^100909969800 is an apocalyptic number.

100909969800 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 100909969800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159227398080).

100909969800 is an abundant number, since it is smaller than the sum of its proper divisors (217544826360).

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

100909969800 is a wasteful number, since it uses less digits than its factorization.

100909969800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 51.

The spelling of 100909969800 in words is "one hundred billion, nine hundred nine million, nine hundred sixty-nine thousand, eight hundred".