105304729 has 2 divisors, whose sum is σ = 105304730. Its totient is φ = 105304728.

The previous prime is 105304723. The next prime is 105304733. The reversal of 105304729 is 927403501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89264704 + 16040025 = 9448^2 + 4005^2 .

It is a cyclic number.

It is not a de Polignac number, because 105304729 - 2⁵ = 105304697 is a prime.

It is a super-2 number, since 2×105304729² = 22178171899526882, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105304729.

It is not a weakly prime, because it can be changed into another prime (105304723) 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, 52652364 + 52652365.

It is an arithmetic number, because the mean of its divisors is an integer number (52652365).

Almost surely, 2^105304729 is an apocalyptic number.

It is an amenable number.

105304729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105304729 is an equidigital number, since it uses as much as digits as its factorization.

105304729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 105304729 is about 10261.8092459371. The cubic root of 105304729 is about 472.2253439568.

The spelling of 105304729 in words is "one hundred five million, three hundred four thousand, seven hundred twenty-nine".