107341959116320 has 192 divisors, whose sum is σ = 268057669178880. Its totient is φ = 40553574469632.

The previous prime is 107341959116239. The next prime is 107341959116321. The reversal of 107341959116320 is 23611959143701.

It is not an unprimeable number, because it can be changed into a prime (107341959116321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433201102 + ... + 433448818.

It is an arithmetic number, because the mean of its divisors is an integer number (1396133693640).

Almost surely, 2^{107341959116320} is an apocalyptic number.

107341959116320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107341959116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134028834589440).

107341959116320 is an abundant number, since it is smaller than the sum of its proper divisors (160715710062560).

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

107341959116320 is a wasteful number, since it uses less digits than its factorization.

107341959116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249795 (or 249787 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 107341959116320 in words is "one hundred seven trillion, three hundred forty-one billion, nine hundred fifty-nine million, one hundred sixteen thousand, three hundred twenty".