107811006120 has 384 divisors, whose sum is σ = 376676352000. Its totient is φ = 26662970880.

The previous prime is 107811006109. The next prime is 107811006137. The reversal of 107811006120 is 21600118701.

107811006120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68624935 + ... + 68626505.

It is an arithmetic number, because the mean of its divisors is an integer number (980928000).

Almost surely, 2^107811006120 is an apocalyptic number.

107811006120 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 107811006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188338176000).

107811006120 is an abundant number, since it is smaller than the sum of its proper divisors (268865345880).

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

107811006120 is a wasteful number, since it uses less digits than its factorization.

107811006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 107811006120 in words is "one hundred seven billion, eight hundred eleven million, six thousand, one hundred twenty".