100959730912768 has 240 divisors, whose sum is σ = 250728175003680. Its totient is φ = 39765647720448.

The previous prime is 100959730912751. The next prime is 100959730912769. The reversal of 100959730912768 is 867219037959001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100959730912769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138340446 + ... + 139068322.

It is an arithmetic number, because the mean of its divisors is an integer number (1044700729182).

Almost surely, 2^{100959730912768} 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 100959730912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125364087501840).

100959730912768 is an abundant number, since it is smaller than the sum of its proper divisors (149768444090912).

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

100959730912768 is an equidigital number, since it uses as much as digits as its factorization.

100959730912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728157 (or 728128 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 67.

The spelling of 100959730912768 in words is "one hundred trillion, nine hundred fifty-nine billion, seven hundred thirty million, nine hundred twelve thousand, seven hundred sixty-eight".