107334407093824 has 49 divisors (see below), whose sum is σ = 214963859577517. Its totient is φ = 53174843881344.

The previous prime is 107334407093803. The next prime is 107334407093887. The reversal of 107334407093824 is 428390704433701.

The square root of 107334407093824 is 10360232.

The cubic root of 107334407093824 is 47524.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 3362939804224 + 103971467289600 = 1833832^2 + 10196640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 984719331082 + ... + 984719331190.

Almost surely, 2^{107334407093824} is an apocalyptic number.

107334407093824 is the 10360232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107334407093824

107334407093824 is an abundant number, since it is smaller than the sum of its proper divisors (107629452483693).

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

107334407093824 is an frugal number, since it uses more digits than its factorization.

107334407093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 55.

The spelling of 107334407093824 in words is "one hundred seven trillion, three hundred thirty-four billion, four hundred seven million, ninety-three thousand, eight hundred twenty-four".