107985846544 has 15 divisors (see below), whose sum is σ = 209225124453. Its totient is φ = 53992266048.

The previous prime is 107985846539. The next prime is 107985846581. The reversal of 107985846544 is 445648589701.

The square root of 107985846544 is 328612.

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

107985846544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20672688400 + 87313158144 = 143780^2 + 295488^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1273372 + ... + 1355524.

Almost surely, 2^107985846544 is an apocalyptic number.

107985846544 is the 328612-nd square number.

It is an amenable number.

107985846544 is a deficient number, since it is larger than the sum of its proper divisors (101239277909).

107985846544 is an frugal number, since it uses more digits than its factorization.

107985846544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164314 (or 82155 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 61.

It can be divided in two parts, 107985 and 846544, that added together give a square (954529 = 977²).

The spelling of 107985846544 in words is "one hundred seven billion, nine hundred eighty-five million, eight hundred forty-six thousand, five hundred forty-four".