105247577 has 2 divisors, whose sum is σ = 105247578. Its totient is φ = 105247576.

The previous prime is 105247507. The next prime is 105247579. The reversal of 105247577 is 775742501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75968656 + 29278921 = 8716^2 + 5411^2 .

It is an emirp because it is prime and its reverse (775742501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105247577 - 2⁸ = 105247321 is a prime.

It is a super-2 number, since 2×105247577² = 22154104928741858, which contains 22 as substring.

Together with 105247579, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105247577.

It is not a weakly prime, because it can be changed into another prime (105247579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52623788 + 52623789.

It is an arithmetic number, because the mean of its divisors is an integer number (52623789).

Almost surely, 2^105247577 is an apocalyptic number.

It is an amenable number.

105247577 is a deficient number, since it is larger than the sum of its proper divisors (1).

105247577 is an equidigital number, since it uses as much as digits as its factorization.

105247577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68600, while the sum is 38.

The square root of 105247577 is about 10259.0241738676. The cubic root of 105247577 is about 472.1398982632.

The spelling of 105247577 in words is "one hundred five million, two hundred forty-seven thousand, five hundred seventy-seven".