100268019200 has 240 divisors, whose sum is σ = 258088005120. Its totient is φ = 38575595520.

The previous prime is 100268019199. The next prime is 100268019239. The reversal of 100268019200 is 2910862001.

100268019200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36875441 + ... + 36878159.

It is an arithmetic number, because the mean of its divisors is an integer number (1075366688).

Almost surely, 2^100268019200 is an apocalyptic number.

100268019200 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 100268019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129044002560).

100268019200 is an abundant number, since it is smaller than the sum of its proper divisors (157819985920).

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

100268019200 is an equidigital number, since it uses as much as digits as its factorization.

100268019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 100268019200 in words is "one hundred billion, two hundred sixty-eight million, nineteen thousand, two hundred".