10205381 has 2 divisors, whose sum is σ = 10205382. Its totient is φ = 10205380.

The previous prime is 10205357. The next prime is 10205383. The reversal of 10205381 is 18350201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9333025 + 872356 = 3055^2 + 934^2 .

It is an emirp because it is prime and its reverse (18350201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10205381 - 2¹⁸ = 9943237 is a prime.

It is a super-2 number, since 2×10205381² = 208299602710322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 10205383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10205383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102690 + 5102691.

It is an arithmetic number, because the mean of its divisors is an integer number (5102691).

Almost surely, 2^10205381 is an apocalyptic number.

It is an amenable number.

10205381 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205381 is an equidigital number, since it uses as much as digits as its factorization.

10205381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10205381 is about 3194.5862016856. The cubic root of 10205381 is about 216.9084183900.

Adding to 10205381 its reverse (18350201), we get a palindrome (28555582).

The spelling of 10205381 in words is "ten million, two hundred five thousand, three hundred eighty-one".