107483808096 has 288 divisors, whose sum is σ = 367960320000. Its totient is φ = 29718178560.

The previous prime is 107483808073. The next prime is 107483808143. The reversal of 107483808096 is 690808384701.

107483808096 is a `hidden beast` number, since 1 + 0 + 7 + 483 + 80 + 80 + 9 + 6 = 666.

107483808096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3044755 + ... + 3079853.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640000).

Almost surely, 2^107483808096 is an apocalyptic number.

107483808096 is a gapful number since it is divisible by the number (16) 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 107483808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160000).

107483808096 is an abundant number, since it is smaller than the sum of its proper divisors (260476511904).

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

107483808096 is a wasteful number, since it uses less digits than its factorization.

107483808096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35167 (or 35142 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 107483808096 in words is "one hundred seven billion, four hundred eighty-three million, eight hundred eight thousand, ninety-six".