105467729 has 2 divisors, whose sum is σ = 105467730. Its totient is φ = 105467728.

The previous prime is 105467647. The next prime is 105467737. The reversal of 105467729 is 927764501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81721600 + 23746129 = 9040^2 + 4873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105467729 is a prime.

It is a super-2 number, since 2×105467729² = 22246883720834882, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105467629) 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, 52733864 + 52733865.

It is an arithmetic number, because the mean of its divisors is an integer number (52733865).

Almost surely, 2^105467729 is an apocalyptic number.

It is an amenable number.

105467729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105467729 is an equidigital number, since it uses as much as digits as its factorization.

105467729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 105467729 is about 10269.7482442366. The cubic root of 105467729 is about 472.4688691079.

The spelling of 105467729 in words is "one hundred five million, four hundred sixty-seven thousand, seven hundred twenty-nine".