107920768928 has 72 divisors (see below), whose sum is σ = 248051097252. Its totient is φ = 46084598784.

The previous prime is 107920768897. The next prime is 107920768933. The reversal of 107920768928 is 829867029701.

It can be written as a sum of positive squares in 2 ways, for example, as 102946005904 + 4974763024 = 320852^2 + 70532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310100 + ... + 558572.

Almost surely, 2^107920768928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107920768928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124025548626).

107920768928 is an abundant number, since it is smaller than the sum of its proper divisors (140130328324).

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

107920768928 is a wasteful number, since it uses less digits than its factorization.

107920768928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248774 (or 248759 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 59.

The spelling of 107920768928 in words is "one hundred seven billion, nine hundred twenty million, seven hundred sixty-eight thousand, nine hundred twenty-eight".