100096720829568 has 768 divisors, whose sum is σ = 309429525600000. Its totient is φ = 30989290438656.

The previous prime is 100096720829551. The next prime is 100096720829569. The reversal of 100096720829568 is 865928027690001.

100096720829568 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 67 + 2 + 0 + 8 + 2 + 9 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (100096720829569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64620219258 + ... + 64620220806.

It is an arithmetic number, because the mean of its divisors is an integer number (402903028125).

Almost surely, 2^{100096720829568} is an apocalyptic number.

100096720829568 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 100096720829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154714762800000).

100096720829568 is an abundant number, since it is smaller than the sum of its proper divisors (209332804770432).

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

100096720829568 is a wasteful number, since it uses less digits than its factorization.

100096720829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 100096720829568 in words is "one hundred trillion, ninety-six billion, seven hundred twenty million, eight hundred twenty-nine thousand, five hundred sixty-eight".