107967932344552 has 256 divisors, whose sum is σ = 243533212876800. Its totient is φ = 43874794782720.

The previous prime is 107967932344541. The next prime is 107967932344553. The reversal of 107967932344552 is 255443239769701.

It is not an unprimeable number, because it can be changed into a prime (107967932344553) 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 63 ways as a sum of consecutive naturals, for example, 99326524153 + ... + 99326525239.

It is an arithmetic number, because the mean of its divisors is an integer number (951301612800).

Almost surely, 2^{107967932344552} 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 107967932344552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121766606438400).

107967932344552 is an abundant number, since it is smaller than the sum of its proper divisors (135565280532248).

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

107967932344552 is a wasteful number, since it uses less digits than its factorization.

107967932344552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 67.

The spelling of 107967932344552 in words is "one hundred seven trillion, nine hundred sixty-seven billion, nine hundred thirty-two million, three hundred forty-four thousand, five hundred fifty-two".