107228729 has 2 divisors, whose sum is σ = 107228730. Its totient is φ = 107228728.

The previous prime is 107228711. The next prime is 107228749. The reversal of 107228729 is 927822701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107226025 + 2704 = 10355^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 107228729 - 2¹⁶ = 107163193 is a prime.

It is a super-2 number, since 2×107228729² = 22996000645910882, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107228692 and 107228701.

It is not a weakly prime, because it can be changed into another prime (107228749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53614364 + 53614365.

It is an arithmetic number, because the mean of its divisors is an integer number (53614365).

Almost surely, 2^107228729 is an apocalyptic number.

It is an amenable number.

107228729 is a deficient number, since it is larger than the sum of its proper divisors (1).

107228729 is an equidigital number, since it uses as much as digits as its factorization.

107228729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 107228729 is about 10355.1305641213. The cubic root of 107228729 is about 475.0839799806.

The spelling of 107228729 in words is "one hundred seven million, two hundred twenty-eight thousand, seven hundred twenty-nine".