105287617 has 2 divisors, whose sum is σ = 105287618. Its totient is φ = 105287616.

The previous prime is 105287599. The next prime is 105287641. The reversal of 105287617 is 716782501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102495376 + 2792241 = 10124^2 + 1671^2 .

It is a cyclic number.

It is not a de Polignac number, because 105287617 - 2⁷ = 105287489 is a prime.

It is a super-2 number, since 2×105287617² = 22170964587077378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105287657) 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, 52643808 + 52643809.

It is an arithmetic number, because the mean of its divisors is an integer number (52643809).

Almost surely, 2^105287617 is an apocalyptic number.

It is an amenable number.

105287617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105287617 is an equidigital number, since it uses as much as digits as its factorization.

105287617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 105287617 is about 10260.9754409608. The cubic root of 105287617 is about 472.1997637260.

It can be divided in two parts, 10528 and 7617, that added together give a triangular number (18145 = T₁₉₀).

The spelling of 105287617 in words is "one hundred five million, two hundred eighty-seven thousand, six hundred seventeen".