107967445056 has 63 divisors (see below), whose sum is σ = 309491792623. Its totient is φ = 35986519680.

The previous prime is 107967445021. The next prime is 107967445127. The reversal of 107967445056 is 650544769701.

The square root of 107967445056 is 328584.

It is a perfect power (a square), and thus also a powerful number.

107967445056 is a `hidden beast` number, since 1 + 0 + 7 + 96 + 7 + 44 + 505 + 6 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107967444993 and 107967445011.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7879171 + ... + 7892861.

Almost surely, 2^107967445056 is an apocalyptic number.

107967445056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107967445056 is the 328584-th square number.

It is an amenable number.

107967445056 is an abundant number, since it is smaller than the sum of its proper divisors (201524347567).

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

107967445056 is an frugal number, since it uses more digits than its factorization.

107967445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27400 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 107967445056 in words is "one hundred seven billion, nine hundred sixty-seven million, four hundred forty-five thousand, fifty-six".