107358382009321 has 3 divisors (see below), whose sum is σ = 107358392370711. Its totient is φ = 107358371647932.

The previous prime is 107358382009297. The next prime is 107358382009337. The reversal of 107358382009321 is 123900283853701.

It is a happy number.

The square root of 107358382009321 is 10361389.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 69577936312921 + 37780445696400 = 8341339^2 + 6146580^2 .

It is not a de Polignac number, because 107358382009321 - 2²¹ = 107358379912169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107358382003321) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5180695 + ... + 15542083.

It is an arithmetic number, because the mean of its divisors is an integer number (35786130790237).

Almost surely, 2^{107358382009321} is an apocalyptic number.

107358382009321 is the 10361389-th square number.

107358382009321 is the 5180695-th centered octagonal number.

It is an amenable number.

107358382009321 is a deficient number, since it is larger than the sum of its proper divisors (10361390).

107358382009321 is an frugal number, since it uses more digits than its factorization.

107358382009321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20722778 (or 10361389 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 107358382009321 in words is "one hundred seven trillion, three hundred fifty-eight billion, three hundred eighty-two million, nine thousand, three hundred twenty-one".