106839503316728 has 192 divisors, whose sum is σ = 264385320948000. Its totient is φ = 40008034418688.

The previous prime is 106839503316703. The next prime is 106839503316773. The reversal of 106839503316728 is 827613305938601.

It is a super-3 number, since 3×106839503316728³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 115048568 + ... + 115973496.

Almost surely, 2^{106839503316728} 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 106839503316728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192660474000).

106839503316728 is an abundant number, since it is smaller than the sum of its proper divisors (157545817631272).

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

106839503316728 is a wasteful number, since it uses less digits than its factorization.

106839503316728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926174 (or 926163 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 62.

The spelling of 106839503316728 in words is "one hundred six trillion, eight hundred thirty-nine billion, five hundred three million, three hundred sixteen thousand, seven hundred twenty-eight".