107371071080 has 256 divisors, whose sum is σ = 306061217280. Its totient is φ = 32988155904.

The previous prime is 107371071077. The next prime is 107371071139. The reversal of 107371071080 is 80170173701.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 107371071080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105992654 + ... + 105993666.

It is an arithmetic number, because the mean of its divisors is an integer number (1195551630).

Almost surely, 2^107371071080 is an apocalyptic number.

107371071080 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 107371071080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153030608640).

107371071080 is an abundant number, since it is smaller than the sum of its proper divisors (198690146200).

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

107371071080 is a wasteful number, since it uses less digits than its factorization.

107371071080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 35.

The spelling of 107371071080 in words is "one hundred seven billion, three hundred seventy-one million, seventy-one thousand, eighty".