100912656768 has 256 divisors, whose sum is σ = 348723671040. Its totient is φ = 25071298560.

The previous prime is 100912656749. The next prime is 100912656773. The reversal of 100912656768 is 867656219001.

It is a self number, because there is not a number n which added to its sum of digits gives 100912656768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605871 + ... + 754257.

It is an arithmetic number, because the mean of its divisors is an integer number (1362201840).

Almost surely, 2^100912656768 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 100912656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174361835520).

100912656768 is an abundant number, since it is smaller than the sum of its proper divisors (247811014272).

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

100912656768 is a wasteful number, since it uses less digits than its factorization.

100912656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148445 (or 148433 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 100912656768 in words is "one hundred billion, nine hundred twelve million, six hundred fifty-six thousand, seven hundred sixty-eight".