109105729 has 2 divisors, whose sum is σ = 109105730. Its totient is φ = 109105728.

The previous prime is 109105693. The next prime is 109105757. The reversal of 109105729 is 927501901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108680625 + 425104 = 10425^2 + 652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-109105729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 109105694 and 109105703.

It is not a weakly prime, because it can be changed into another prime (109105769) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54552864 + 54552865.

It is an arithmetic number, because the mean of its divisors is an integer number (54552865).

Almost surely, 2^109105729 is an apocalyptic number.

It is an amenable number.

109105729 is a deficient number, since it is larger than the sum of its proper divisors (1).

109105729 is an equidigital number, since it uses as much as digits as its factorization.

109105729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 109105729 is about 10445.3687823839. The cubic root of 109105729 is about 477.8400184143.

The spelling of 109105729 in words is "one hundred nine million, one hundred five thousand, seven hundred twenty-nine".