105261797 has 2 divisors, whose sum is σ = 105261798. Its totient is φ = 105261796.

The previous prime is 105261787. The next prime is 105261799. The reversal of 105261797 is 797162501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63904036 + 41357761 = 7994^2 + 6431^2 .

It is an emirp because it is prime and its reverse (797162501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105261797 - 2¹⁰ = 105260773 is a prime.

It is a super-2 number, since 2×105261797² = 22160091815338418, which contains 22 as substring.

Together with 105261799, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105261797.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105261799) 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, 52630898 + 52630899.

It is an arithmetic number, because the mean of its divisors is an integer number (52630899).

Almost surely, 2^105261797 is an apocalyptic number.

It is an amenable number.

105261797 is a deficient number, since it is larger than the sum of its proper divisors (1).

105261797 is an equidigital number, since it uses as much as digits as its factorization.

105261797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 38.

The square root of 105261797 is about 10259.7171988316. The cubic root of 105261797 is about 472.1611609126.

The spelling of 105261797 in words is "one hundred five million, two hundred sixty-one thousand, seven hundred ninety-seven".