106846309815168 has 1024 divisors, whose sum is σ = 387889540300800. Its totient is φ = 25217895628800.

The previous prime is 106846309815163. The next prime is 106846309815211. The reversal of 106846309815168 is 861518903648601.

It is a super-2 number, since 2×106846309815168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 106846309815099 and 106846309815108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106846309815163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1967930230 + ... + 1967984522.

It is an arithmetic number, because the mean of its divisors is an integer number (378798379200).

Almost surely, 2^{106846309815168} 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 106846309815168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193944770150400).

106846309815168 is an abundant number, since it is smaller than the sum of its proper divisors (281043230485632).

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

106846309815168 is a wasteful number, since it uses less digits than its factorization.

106846309815168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54491 (or 54479 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 66.

The spelling of 106846309815168 in words is "one hundred six trillion, eight hundred forty-six billion, three hundred nine million, eight hundred fifteen thousand, one hundred sixty-eight".