107538383856401 has 2 divisors, whose sum is σ = 107538383856402. Its totient is φ = 107538383856400.

The previous prime is 107538383856287. The next prime is 107538383856443. The reversal of 107538383856401 is 104658383835701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74570392222225 + 32967991634176 = 8635415^2 + 5741776^2 .

It is an emirp because it is prime and its reverse (104658383835701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107538383856401 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (107538383856451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53769191928200 + 53769191928201.

It is an arithmetic number, because the mean of its divisors is an integer number (53769191928201).

Almost surely, 2^{107538383856401} is an apocalyptic number.

It is an amenable number.

107538383856401 is a deficient number, since it is larger than the sum of its proper divisors (1).

107538383856401 is an equidigital number, since it uses as much as digits as its factorization.

107538383856401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58060800, while the sum is 62.

The spelling of 107538383856401 in words is "one hundred seven trillion, five hundred thirty-eight billion, three hundred eighty-three million, eight hundred fifty-six thousand, four hundred one".