105611609 has 2 divisors, whose sum is σ = 105611610. Its totient is φ = 105611608.

The previous prime is 105611587. The next prime is 105611617. The reversal of 105611609 is 906116501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53699584 + 51912025 = 7328^2 + 7205^2 .

It is a cyclic number.

It is not a de Polignac number, because 105611609 - 2⁸ = 105611353 is a prime.

It is a super-3 number, since 3×105611609³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105611629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805804 + 52805805.

It is an arithmetic number, because the mean of its divisors is an integer number (52805805).

Almost surely, 2^105611609 is an apocalyptic number.

It is an amenable number.

105611609 is a deficient number, since it is larger than the sum of its proper divisors (1).

105611609 is an equidigital number, since it uses as much as digits as its factorization.

105611609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 105611609 is about 10276.7508970491. The cubic root of 105611609 is about 472.6836202060.

The spelling of 105611609 in words is "one hundred five million, six hundred eleven thousand, six hundred nine".