100714896000 has 768 divisors, whose sum is σ = 385000387200. Its totient is φ = 25159680000.

The previous prime is 100714895959. The next prime is 100714896031. The reversal of 100714896000 is 698417001.

100714896000 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 1 + 48 + 9 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358415860 + ... + 358416140.

Almost surely, 2^100714896000 is an apocalyptic number.

100714896000 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 100714896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192500193600).

100714896000 is an abundant number, since it is smaller than the sum of its proper divisors (284285491200).

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

100714896000 is a wasteful number, since it uses less digits than its factorization.

100714896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 441 counting only the distinct ones).

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

The spelling of 100714896000 in words is "one hundred billion, seven hundred fourteen million, eight hundred ninety-six thousand".