100268257 has 2 divisors, whose sum is σ = 100268258. Its totient is φ = 100268256.

The previous prime is 100268243. The next prime is 100268281. The reversal of 100268257 is 752862001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64256256 + 36012001 = 8016^2 + 6001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100268257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100268237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50134128 + 50134129.

It is an arithmetic number, because the mean of its divisors is an integer number (50134129).

Almost surely, 2^100268257 is an apocalyptic number.

It is an amenable number.

100268257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100268257 is an equidigital number, since it uses as much as digits as its factorization.

100268257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 100268257 is about 10013.4038668177. The cubic root of 100268257 is about 464.5735590151.

The spelling of 100268257 in words is "one hundred million, two hundred sixty-eight thousand, two hundred fifty-seven".