100298949764400 has 960 divisors, whose sum is σ = 384818935726080. Its totient is φ = 24739482240000.

The previous prime is 100298949764329. The next prime is 100298949764407. The reversal of 100298949764400 is 4467949892001.

100298949764400 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 9 + 89 + 4 + 97 + 64 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (100298949764407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12097324255 + ... + 12097332545.

It is an arithmetic number, because the mean of its divisors is an integer number (400853058048).

Almost surely, 2^{100298949764400} is an apocalyptic number.

100298949764400 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 100298949764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192409467863040).

100298949764400 is an abundant number, since it is smaller than the sum of its proper divisors (284519985961680).

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

100298949764400 is a wasteful number, since it uses less digits than its factorization.

100298949764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9943 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 100298949764400 in words is "one hundred trillion, two hundred ninety-eight billion, nine hundred forty-nine million, seven hundred sixty-four thousand, four hundred".