107534340504864 has 192 divisors, whose sum is σ = 386020709786880. Its totient is φ = 28360705167360.

The previous prime is 107534340504853. The next prime is 107534340504931. The reversal of 107534340504864 is 468405043435701.

107534340504864 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 34 + 3 + 40 + 504 + 8 + 64 = 666.

107534340504864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 107534340504864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683773257 + ... + 683930504.

It is an arithmetic number, because the mean of its divisors is an integer number (2010524530140).

Almost surely, 2^{107534340504864} is an apocalyptic number.

107534340504864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107534340504864 is an abundant number, since it is smaller than the sum of its proper divisors (278486369282016).

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

107534340504864 is a wasteful number, since it uses less digits than its factorization.

107534340504864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367703800 (or 1367703786 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 107534340504864 in words is "one hundred seven trillion, five hundred thirty-four billion, three hundred forty million, five hundred four thousand, eight hundred sixty-four".