107885885002993 has 2 divisors, whose sum is σ = 107885885002994. Its totient is φ = 107885885002992.

The previous prime is 107885885002963. The next prime is 107885885003009. The reversal of 107885885002993 is 399200588588701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100654427198224 + 7231457804769 = 10032668^2 + 2689137^2 .

It is a cyclic number.

It is not a de Polignac number, because 107885885002993 - 2¹³ = 107885884994801 is a prime.

It is not a weakly prime, because it can be changed into another prime (107885885002963) 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, 53942942501496 + 53942942501497.

It is an arithmetic number, because the mean of its divisors is an integer number (53942942501497).

Almost surely, 2^{107885885002993} is an apocalyptic number.

It is an amenable number.

107885885002993 is a deficient number, since it is larger than the sum of its proper divisors (1).

107885885002993 is an equidigital number, since it uses as much as digits as its factorization.

107885885002993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 348364800, while the sum is 73.

The spelling of 107885885002993 in words is "one hundred seven trillion, eight hundred eighty-five billion, eight hundred eighty-five million, two thousand, nine hundred ninety-three".