105266729 has 2 divisors, whose sum is σ = 105266730. Its totient is φ = 105266728.

The previous prime is 105266719. The next prime is 105266743. The reversal of 105266729 is 927662501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65286400 + 39980329 = 8080^2 + 6323^2 .

It is a cyclic number.

It is not a de Polignac number, because 105266729 - 2⁴ = 105266713 is a prime.

It is a super-2 number, since 2×105266729² = 22162168468718882, 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 = 105266692 and 105266701.

It is not a weakly prime, because it can be changed into another prime (105266719) 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, 52633364 + 52633365.

It is an arithmetic number, because the mean of its divisors is an integer number (52633365).

Almost surely, 2^105266729 is an apocalyptic number.

It is an amenable number.

105266729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105266729 is an equidigital number, since it uses as much as digits as its factorization.

105266729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 105266729 is about 10259.9575535184. The cubic root of 105266729 is about 472.1685351058.

The spelling of 105266729 in words is "one hundred five million, two hundred sixty-six thousand, seven hundred twenty-nine".