105997757 has 2 divisors, whose sum is σ = 105997758. Its totient is φ = 105997756.

The previous prime is 105997673. The next prime is 105997811. The reversal of 105997757 is 757799501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95667961 + 10329796 = 9781^2 + 3214^2 .

It is a cyclic number.

It is not a de Polignac number, because 105997757 - 2¹⁰ = 105996733 is a prime.

It is a super-2 number, since 2×105997757² = 22471048978062098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105990757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52998878 + 52998879.

It is an arithmetic number, because the mean of its divisors is an integer number (52998879).

Almost surely, 2^105997757 is an apocalyptic number.

It is an amenable number.

105997757 is a deficient number, since it is larger than the sum of its proper divisors (1).

105997757 is an equidigital number, since it uses as much as digits as its factorization.

105997757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 694575, while the sum is 50.

The square root of 105997757 is about 10295.5212107013. The cubic root of 105997757 is about 473.2590109562.

The spelling of 105997757 in words is "one hundred five million, nine hundred ninety-seven thousand, seven hundred fifty-seven".