100805518045872 has 120 divisors (see below), whose sum is σ = 283608122204160. Its totient is φ = 33424070655360.

The previous prime is 100805518045867. The next prime is 100805518045889. The reversal of 100805518045872 is 278540815508001.

It is a happy number.

100805518045872 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 5 + 5 + 180 + 458 + 7 + 2 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 554032129 + ... + 554214047.

It is an arithmetic number, because the mean of its divisors is an integer number (2363401018368).

Almost surely, 2^{100805518045872} is an apocalyptic number.

100805518045872 is a gapful number since it is divisible by the number (12) 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 100805518045872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141804061102080).

100805518045872 is an abundant number, since it is smaller than the sum of its proper divisors (182802604158288).

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

100805518045872 is a wasteful number, since it uses less digits than its factorization.

100805518045872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202271 (or 202262 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 54.

The spelling of 100805518045872 in words is "one hundred trillion, eight hundred five billion, five hundred eighteen million, forty-five thousand, eight hundred seventy-two".