102441257 has 2 divisors, whose sum is σ = 102441258. Its totient is φ = 102441256.

The previous prime is 102441239. The next prime is 102441259. The reversal of 102441257 is 752144201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99520576 + 2920681 = 9976^2 + 1709^2 .

It is an emirp because it is prime and its reverse (752144201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102441257 - 2¹² = 102437161 is a prime.

It is a super-2 number, since 2×102441257² = 20988422271480098, which contains 22 as substring.

Together with 102441259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102441259) 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, 51220628 + 51220629.

It is an arithmetic number, because the mean of its divisors is an integer number (51220629).

Almost surely, 2^102441257 is an apocalyptic number.

It is an amenable number.

102441257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102441257 is an equidigital number, since it uses as much as digits as its factorization.

102441257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 102441257 is about 10121.3268398960. The cubic root of 102441257 is about 467.9056610318.

Adding to 102441257 its reverse (752144201), we get a palindrome (854585458).

The spelling of 102441257 in words is "one hundred two million, four hundred forty-one thousand, two hundred fifty-seven".