107839940096 has 240 divisors, whose sum is σ = 274574836800. Its totient is φ = 41993699328.

The previous prime is 107839940077. The next prime is 107839940119. The reversal of 107839940096 is 690049938701.

107839940096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12364025 + ... + 12372743.

It is an arithmetic number, because the mean of its divisors is an integer number (1144061820).

Almost surely, 2^107839940096 is an apocalyptic number.

107839940096 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 107839940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137287418400).

107839940096 is an abundant number, since it is smaller than the sum of its proper divisors (166734896704).

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

107839940096 is an equidigital number, since it uses as much as digits as its factorization.

107839940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 56.

The spelling of 107839940096 in words is "one hundred seven billion, eight hundred thirty-nine million, nine hundred forty thousand, ninety-six".