100096718400 has 1008 divisors, whose sum is σ = 425144598528. Its totient is φ = 21855744000.

The previous prime is 100096718389. The next prime is 100096718419. The reversal of 100096718400 is 4817690001.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321854245 + ... + 321854555.

Almost surely, 2^100096718400 is an apocalyptic number.

100096718400 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 100096718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212572299264).

100096718400 is an abundant number, since it is smaller than the sum of its proper divisors (325047880128).

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

100096718400 is a wasteful number, since it uses less digits than its factorization.

100096718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 100096718400 in words is "one hundred billion, ninety-six million, seven hundred eighteen thousand, four hundred".