107137727993 has 2 divisors, whose sum is σ = 107137727994. Its totient is φ = 107137727992.

The previous prime is 107137727959. The next prime is 107137728011. The reversal of 107137727993 is 399727731701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103991415529 + 3146312464 = 322477^2 + 56092^2 .

It is a cyclic number.

It is not a de Polignac number, because 107137727993 - 2⁶ = 107137727929 is a prime.

It is a super-2 number, since 2×107137727993² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107137727903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53568863996 + 53568863997.

It is an arithmetic number, because the mean of its divisors is an integer number (53568863997).

Almost surely, 2^107137727993 is an apocalyptic number.

It is an amenable number.

107137727993 is a deficient number, since it is larger than the sum of its proper divisors (1).

107137727993 is an equidigital number, since it uses as much as digits as its factorization.

107137727993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3500658, while the sum is 56.

The spelling of 107137727993 in words is "one hundred seven billion, one hundred thirty-seven million, seven hundred twenty-seven thousand, nine hundred ninety-three".