100794945888000 has 9216 divisors, whose sum is σ = 527120455680000. Its totient is φ = 18962192793600.

The previous prime is 100794945887959. The next prime is 100794945888071. The reversal of 100794945888000 is 888549497001.

100794945888000 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 9 + 49 + 4 + 588 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×100794945888000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 5304997151991 + ... + 5304997152009.

It is an arithmetic number, because the mean of its divisors is an integer number (57196230000).

Almost surely, 2^{100794945888000} is an apocalyptic number.

100794945888000 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 100794945888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263560227840000).

100794945888000 is an abundant number, since it is smaller than the sum of its proper divisors (426325509792000).

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

100794945888000 is an frugal number, since it uses more digits than its factorization.

100794945888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 100794945888000 in words is "one hundred trillion, seven hundred ninety-four billion, nine hundred forty-five million, eight hundred eighty-eight thousand".