100096854768 has 240 divisors, whose sum is σ = 288315510912. Its totient is φ = 32410560000.

The previous prime is 100096854761. The next prime is 100096854779. The reversal of 100096854768 is 867458690001.

100096854768 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 96 + 8 + 547 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100096854761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203863003 + ... + 203863493.

Almost surely, 2^100096854768 is an apocalyptic number.

100096854768 is a gapful number since it is divisible by the number (18) 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 100096854768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144157755456).

100096854768 is an abundant number, since it is smaller than the sum of its proper divisors (188218656144).

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

100096854768 is a wasteful number, since it uses less digits than its factorization.

100096854768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 100096854768 in words is "one hundred billion, ninety-six million, eight hundred fifty-four thousand, seven hundred sixty-eight".