101968118784 has 396 divisors, whose sum is σ = 355228748784. Its totient is φ = 29130264576.

The previous prime is 101968118753. The next prime is 101968118851. The reversal of 101968118784 is 487811869101.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 101968118784.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12188587 + ... + 12196949.

Almost surely, 2^101968118784 is an apocalyptic number.

101968118784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101968118784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177614374392).

101968118784 is an abundant number, since it is smaller than the sum of its proper divisors (253260630000).

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

101968118784 is an frugal number, since it uses more digits than its factorization.

101968118784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 101968118784 in words is "one hundred one billion, nine hundred sixty-eight million, one hundred eighteen thousand, seven hundred eighty-four".