100296468000 has 960 divisors, whose sum is σ = 394315713792. Its totient is φ = 24908083200.

The previous prime is 100296467993. The next prime is 100296468001. The reversal of 100296468000 is 864692001.

100296468000 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 9 + 646 + 8 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100296468001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 320435844 + ... + 320436156.

Almost surely, 2^100296468000 is an apocalyptic number.

100296468000 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 100296468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197157856896).

100296468000 is an abundant number, since it is smaller than the sum of its proper divisors (294019245792).

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

100296468000 is a wasteful number, since it uses less digits than its factorization.

100296468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 100296468000 in words is "one hundred billion, two hundred ninety-six million, four hundred sixty-eight thousand".