107668356352608 has 432 divisors, whose sum is σ = 323530930308096. Its totient is φ = 31254035619840.

The previous prime is 107668356352603. The next prime is 107668356352649. The reversal of 107668356352608 is 806253653866701.

107668356352608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107668356352603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46150173010 + ... + 46150175342.

It is an arithmetic number, because the mean of its divisors is an integer number (748914190528).

Almost surely, 2^{107668356352608} 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 107668356352608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161765465154048).

107668356352608 is an abundant number, since it is smaller than the sum of its proper divisors (215862573955488).

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

107668356352608 is an equidigital number, since it uses as much as digits as its factorization.

107668356352608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 107668356352608 in words is "one hundred seven trillion, six hundred sixty-eight billion, three hundred fifty-six million, three hundred fifty-two thousand, six hundred eight".