107382518880 has 1152 divisors, whose sum is σ = 454224153600. Its totient is φ = 20806336512.

The previous prime is 107382518849. The next prime is 107382518909. The reversal of 107382518880 is 88815283701.

It is a super-2 number, since 2×107382518880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 399191386 + ... + 399191654.

It is an arithmetic number, because the mean of its divisors is an integer number (394291800).

Almost surely, 2^107382518880 is an apocalyptic number.

107382518880 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 107382518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227112076800).

107382518880 is an abundant number, since it is smaller than the sum of its proper divisors (346841634720).

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

107382518880 is a wasteful number, since it uses less digits than its factorization.

107382518880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 107382518880 in words is "one hundred seven billion, three hundred eighty-two million, five hundred eighteen thousand, eight hundred eighty".