101982805874688 has 288 divisors, whose sum is σ = 294137269498800. Its totient is φ = 31313798627328.

The previous prime is 101982805874647. The next prime is 101982805874707. The reversal of 101982805874688 is 886478508289101.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 230504628 + ... + 230946636.

Almost surely, 2^{101982805874688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101982805874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147068634749400).

101982805874688 is an abundant number, since it is smaller than the sum of its proper divisors (192154463624112).

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

101982805874688 is an equidigital number, since it uses as much as digits as its factorization.

101982805874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442145 (or 442078 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 75.

The spelling of 101982805874688 in words is "one hundred one trillion, nine hundred eighty-two billion, eight hundred five million, eight hundred seventy-four thousand, six hundred eighty-eight".