105257687 has 2 divisors, whose sum is σ = 105257688. Its totient is φ = 105257686.

The previous prime is 105257671. The next prime is 105257689. The reversal of 105257687 is 786752501.

It is a strong prime.

It is an emirp because it is prime and its reverse (786752501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105257687 - 2⁴ = 105257671 is a prime.

It is a super-2 number, since 2×105257687² = 22158361345179938, which contains 22 as substring.

Together with 105257689, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105257689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52628843 + 52628844.

It is an arithmetic number, because the mean of its divisors is an integer number (52628844).

Almost surely, 2^105257687 is an apocalyptic number.

105257687 is a deficient number, since it is larger than the sum of its proper divisors (1).

105257687 is an equidigital number, since it uses as much as digits as its factorization.

105257687 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 117600, while the sum is 41.

The square root of 105257687 is about 10259.5168989578. The cubic root of 105257687 is about 472.1550155757.

The spelling of 105257687 in words is "one hundred five million, two hundred fifty-seven thousand, six hundred eighty-seven".