105226729 has 2 divisors, whose sum is σ = 105226730. Its totient is φ = 105226728.

The previous prime is 105226727. The next prime is 105226733. The reversal of 105226729 is 927622501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102414400 + 2812329 = 10120^2 + 1677^2 .

It is a cyclic number.

It is not a de Polignac number, because 105226729 - 2¹ = 105226727 is a prime.

It is a super-2 number, since 2×105226729² = 22145328992078882, which contains 22 as substring.

Together with 105226727, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105226694 and 105226703.

It is not a weakly prime, because it can be changed into another prime (105226727) 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, 52613364 + 52613365.

It is an arithmetic number, because the mean of its divisors is an integer number (52613365).

Almost surely, 2^105226729 is an apocalyptic number.

It is an amenable number.

105226729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105226729 is an equidigital number, since it uses as much as digits as its factorization.

105226729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 105226729 is about 10258.0080425003. The cubic root of 105226729 is about 472.1087215435.

The spelling of 105226729 in words is "one hundred five million, two hundred twenty-six thousand, seven hundred twenty-nine".