100782839168 has 256 divisors, whose sum is σ = 242894868480. Its totient is φ = 41115648000.

The previous prime is 100782839161. The next prime is 100782839177. The reversal of 100782839168 is 861938287001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100782839161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52682180 + ... + 52684092.

It is an arithmetic number, because the mean of its divisors is an integer number (948808080).

Almost surely, 2^100782839168 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 100782839168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121447434240).

100782839168 is an abundant number, since it is smaller than the sum of its proper divisors (142112029312).

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

100782839168 is a wasteful number, since it uses less digits than its factorization.

100782839168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 100782839168 in words is "one hundred billion, seven hundred eighty-two million, eight hundred thirty-nine thousand, one hundred sixty-eight".