107385323809 has 15 divisors (see below), whose sum is σ = 110526150723. Its totient is φ = 104333481648.

The previous prime is 107385323791. The next prime is 107385323819. The reversal of 107385323809 is 908323583701.

The square root of 107385323809 is 327697.

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

It can be written as a sum of positive squares in only one way, i.e., 60957141025 + 46428182784 = 246895^2 + 215472^2 .

It is a de Polignac number, because none of the positive numbers 2^k-107385323809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107385323819) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1471031797 + ... + 1471031869.

Almost surely, 2^107385323809 is an apocalyptic number.

107385323809 is the 327697-th square number.

107385323809 is the 163849-th centered octagonal number.

It is an amenable number.

107385323809 is a deficient number, since it is larger than the sum of its proper divisors (3140826914).

107385323809 is an frugal number, since it uses more digits than its factorization.

107385323809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 107385323809 by its sum of digits (49), we get a square (5261880866641 = 2293879²).

The spelling of 107385323809 in words is "one hundred seven billion, three hundred eighty-five million, three hundred twenty-three thousand, eight hundred nine".