105287257 has 2 divisors, whose sum is σ = 105287258. Its totient is φ = 105287256.

The previous prime is 105287233. The next prime is 105287269. The reversal of 105287257 is 752782501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88811776 + 16475481 = 9424^2 + 4059^2 .

It is a cyclic number.

It is not a de Polignac number, because 105287257 - 2¹¹ = 105285209 is a prime.

It is a super-2 number, since 2×105287257² = 22170812973168098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105287207) 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, 52643628 + 52643629.

It is an arithmetic number, because the mean of its divisors is an integer number (52643629).

Almost surely, 2^105287257 is an apocalyptic number.

It is an amenable number.

105287257 is a deficient number, since it is larger than the sum of its proper divisors (1).

105287257 is an equidigital number, since it uses as much as digits as its factorization.

105287257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 105287257 is about 10260.9578987539. The cubic root of 105287257 is about 472.1992255427.

The spelling of 105287257 in words is "one hundred five million, two hundred eighty-seven thousand, two hundred fifty-seven".