100096683357888 has 336 divisors, whose sum is σ = 328750253994240. Its totient is φ = 28524635707392.

The previous prime is 100096683357829. The next prime is 100096683357893. The reversal of 100096683357888 is 888753386690001.

100096683357888 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 96 + 68 + 335 + 78 + 88 = 666.

It is a Cunningham number, because it is equal to 10004833²-1.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2881374823 + ... + 2881409561.

Almost surely, 2^{100096683357888} is an apocalyptic number.

100096683357888 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 100096683357888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164375126997120).

100096683357888 is an abundant number, since it is smaller than the sum of its proper divisors (228653570636352).

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

100096683357888 is a wasteful number, since it uses less digits than its factorization.

100096683357888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36604 (or 36591 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 100096683357888 in words is "one hundred trillion, ninety-six billion, six hundred eighty-three million, three hundred fifty-seven thousand, eight hundred eighty-eight".