107020787328 has 640 divisors, whose sum is σ = 398075905920. Its totient is φ = 27787567104.

The previous prime is 107020787303. The next prime is 107020787371. The reversal of 107020787328 is 823787020701.

It is a happy number.

It is a super-2 number, since 2×107020787328² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63212850 + ... + 63214542.

It is an arithmetic number, because the mean of its divisors is an integer number (621993603).

Almost surely, 2^107020787328 is an apocalyptic number.

107020787328 is a gapful number since it is divisible by the number (18) 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 107020787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199037952960).

107020787328 is an abundant number, since it is smaller than the sum of its proper divisors (291055118592).

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

107020787328 is a wasteful number, since it uses less digits than its factorization.

107020787328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 107020787328 in words is "one hundred seven billion, twenty million, seven hundred eighty-seven thousand, three hundred twenty-eight".