100766741728 has 96 divisors (see below), whose sum is σ = 210515760000. Its totient is φ = 47395246080.

The previous prime is 100766741717. The next prime is 100766741753. The reversal of 100766741728 is 827147667001.

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 15 ways as a sum of consecutive naturals, for example, 39530598 + ... + 39533146.

It is an arithmetic number, because the mean of its divisors is an integer number (2192872500).

Almost surely, 2^100766741728 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 100766741728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105257880000).

100766741728 is an abundant number, since it is smaller than the sum of its proper divisors (109749018272).

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

100766741728 is a wasteful number, since it uses less digits than its factorization.

100766741728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 49.

The spelling of 100766741728 in words is "one hundred billion, seven hundred sixty-six million, seven hundred forty-one thousand, seven hundred twenty-eight".