100843727785680 has 160 divisors (see below), whose sum is σ = 348966202590720. Its totient is φ = 23878430231040.

The previous prime is 100843727785673. The next prime is 100843727785699. The reversal of 100843727785680 is 86587727348001.

100843727785680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×100843727785680⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 444053710 + ... + 444280749.

It is an arithmetic number, because the mean of its divisors is an integer number (2181038766192).

Almost surely, 2^{100843727785680} is an apocalyptic number.

100843727785680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100843727785680 is an abundant number, since it is smaller than the sum of its proper divisors (248122474805040).

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

100843727785680 is a wasteful number, since it uses less digits than its factorization.

100843727785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888334529 (or 888334523 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 66.

The spelling of 100843727785680 in words is "one hundred trillion, eight hundred forty-three billion, seven hundred twenty-seven million, seven hundred eighty-five thousand, six hundred eighty".