105360113437109 has 2 divisors, whose sum is σ = 105360113437110. Its totient is φ = 105360113437108.

The previous prime is 105360113437069. The next prime is 105360113437133. The reversal of 105360113437109 is 901734311063501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77647290532900 + 27712822904209 = 8811770^2 + 5264297^2 .

It is a cyclic number.

It is not a de Polignac number, because 105360113437109 - 2³² = 105355818469813 is a prime.

It is a super-3 number, since 3×105360113437109³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105360113437109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105360113437009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52680056718554 + 52680056718555.

It is an arithmetic number, because the mean of its divisors is an integer number (52680056718555).

Almost surely, 2^{105360113437109} is an apocalyptic number.

It is an amenable number.

105360113437109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105360113437109 is an equidigital number, since it uses as much as digits as its factorization.

105360113437109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 204120, while the sum is 44.

The spelling of 105360113437109 in words is "one hundred five trillion, three hundred sixty billion, one hundred thirteen million, four hundred thirty-seven thousand, one hundred nine".