105287657 has 2 divisors, whose sum is σ = 105287658. Its totient is φ = 105287656.

The previous prime is 105287641. The next prime is 105287669. The reversal of 105287657 is 756782501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101989801 + 3297856 = 10099^2 + 1816^2 .

It is a cyclic number.

It is not a de Polignac number, because 105287657 - 2⁴ = 105287641 is a prime.

It is a super-2 number, since 2×105287657² = 22170981433099298, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105287617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52643828 + 52643829.

It is an arithmetic number, because the mean of its divisors is an integer number (52643829).

Almost surely, 2^105287657 is an apocalyptic number.

It is an amenable number.

105287657 is a deficient number, since it is larger than the sum of its proper divisors (1).

105287657 is an equidigital number, since it uses as much as digits as its factorization.

105287657 is an odious number, because the sum of its binary digits is odd.

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

The square root of 105287657 is about 10260.9773900930. The cubic root of 105287657 is about 472.1998235240.

The spelling of 105287657 in words is "one hundred five million, two hundred eighty-seven thousand, six hundred fifty-seven".