101885257 has 2 divisors, whose sum is σ = 101885258. Its totient is φ = 101885256.

The previous prime is 101885249. The next prime is 101885263. The reversal of 101885257 is 752588101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100320256 + 1565001 = 10016^2 + 1251^2 .

It is an emirp because it is prime and its reverse (752588101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101885257 - 2³ = 101885249 is a prime.

It is not a weakly prime, because it can be changed into another prime (101885227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50942628 + 50942629.

It is an arithmetic number, because the mean of its divisors is an integer number (50942629).

Almost surely, 2^101885257 is an apocalyptic number.

It is an amenable number.

101885257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101885257 is an equidigital number, since it uses as much as digits as its factorization.

101885257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22400, while the sum is 37.

The square root of 101885257 is about 10093.8227149084. The cubic root of 101885257 is about 467.0576054589.

The spelling of 101885257 in words is "one hundred one million, eight hundred eighty-five thousand, two hundred fifty-seven".