105729697 has 2 divisors, whose sum is σ = 105729698. Its totient is φ = 105729696.

The previous prime is 105729677. The next prime is 105729719. The reversal of 105729697 is 796927501.

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., 103245921 + 2483776 = 10161^2 + 1576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105729697 is a prime.

It is a super-2 number, since 2×105729697² = 22357537655423618, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105729607) 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, 52864848 + 52864849.

It is an arithmetic number, because the mean of its divisors is an integer number (52864849).

Almost surely, 2^105729697 is an apocalyptic number.

It is an amenable number.

105729697 is a deficient number, since it is larger than the sum of its proper divisors (1).

105729697 is an equidigital number, since it uses as much as digits as its factorization.

105729697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 238140, while the sum is 46.

The square root of 105729697 is about 10282.4946875746. The cubic root of 105729697 is about 472.8597292300.

The spelling of 105729697 in words is "one hundred five million, seven hundred twenty-nine thousand, six hundred ninety-seven".