105729797 has 2 divisors, whose sum is σ = 105729798. Its totient is φ = 105729796.

The previous prime is 105729773. The next prime is 105729823. The reversal of 105729797 is 797927501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98922916 + 6806881 = 9946^2 + 2609^2 .

It is a cyclic number.

It is not a de Polignac number, because 105729797 - 2²⁴ = 88952581 is a prime.

It is a super-2 number, since 2×105729797² = 22357579947322418, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105729497) 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, 52864898 + 52864899.

It is an arithmetic number, because the mean of its divisors is an integer number (52864899).

Almost surely, 2^105729797 is an apocalyptic number.

It is an amenable number.

105729797 is a deficient number, since it is larger than the sum of its proper divisors (1).

105729797 is an equidigital number, since it uses as much as digits as its factorization.

105729797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 277830, while the sum is 47.

The square root of 105729797 is about 10282.4995502067. The cubic root of 105729797 is about 472.8598783081.

The spelling of 105729797 in words is "one hundred five million, seven hundred twenty-nine thousand, seven hundred ninety-seven".