107581006390309 has 2 divisors, whose sum is σ = 107581006390310. Its totient is φ = 107581006390308.

The previous prime is 107581006390213. The next prime is 107581006390337. The reversal of 107581006390309 is 903093600185701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67446437406084 + 40134568984225 = 8212578^2 + 6335185^2 .

It is a cyclic number.

It is not a de Polignac number, because 107581006390309 - 2⁷ = 107581006390181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107581006390369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53790503195154 + 53790503195155.

It is an arithmetic number, because the mean of its divisors is an integer number (53790503195155).

Almost surely, 2^{107581006390309} is an apocalyptic number.

It is an amenable number.

107581006390309 is a deficient number, since it is larger than the sum of its proper divisors (1).

107581006390309 is an equidigital number, since it uses as much as digits as its factorization.

107581006390309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 107581006390309 in words is "one hundred seven trillion, five hundred eighty-one billion, six million, three hundred ninety thousand, three hundred nine".