102257681 has 2 divisors, whose sum is σ = 102257682. Its totient is φ = 102257680.

The previous prime is 102257663. The next prime is 102257693. The reversal of 102257681 is 186752201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60590656 + 41667025 = 7784^2 + 6455^2 .

It is an emirp because it is prime and its reverse (186752201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102257681 - 2¹⁴ = 102241297 is a prime.

It is a super-2 number, since 2×102257681² = 20913266646995522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102257081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51128840 + 51128841.

It is an arithmetic number, because the mean of its divisors is an integer number (51128841).

Almost surely, 2^102257681 is an apocalyptic number.

It is an amenable number.

102257681 is a deficient number, since it is larger than the sum of its proper divisors (1).

102257681 is an equidigital number, since it uses as much as digits as its factorization.

102257681 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 32.

The square root of 102257681 is about 10112.2540019523. The cubic root of 102257681 is about 467.6259963331.

The spelling of 102257681 in words is "one hundred two million, two hundred fifty-seven thousand, six hundred eighty-one".