106685639967744 has 528 divisors, whose sum is σ = 325535181637120. Its totient is φ = 33606254592000.

The previous prime is 106685639967721. The next prime is 106685639967761. The reversal of 106685639967744 is 447769936586601.

106685639967744 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 563 + 9 + 9 + 6 + 7 + 7 + 44 = 666.

It is a super-2 number, since 2×106685639967744² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2422394364 + ... + 2422438404.

Almost surely, 2^{106685639967744} 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 106685639967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162767590818560).

106685639967744 is an abundant number, since it is smaller than the sum of its proper divisors (218849541669376).

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

106685639967744 is a wasteful number, since it uses less digits than its factorization.

106685639967744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44298 (or 44277 counting only the distinct ones).

The product of its (nonzero) digits is 9876142080, while the sum is 81.

The spelling of 106685639967744 in words is "one hundred six trillion, six hundred eighty-five billion, six hundred thirty-nine million, nine hundred sixty-seven thousand, seven hundred forty-four".