10824101 has 2 divisors, whose sum is σ = 10824102. Its totient is φ = 10824100.

The previous prime is 10824097. The next prime is 10824119. The reversal of 10824101 is 10142801.

It is a Cunningham number, because it is equal to 3290²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10824100 + 1 = 3290^2 + 1^2 .

It is an emirp because it is prime and its reverse (10142801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10824101 - 2² = 10824097 is a prime.

It is a super-2 number, since 2×10824101² = 234322324916402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10824101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10824131) 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, 5412050 + 5412051.

It is an arithmetic number, because the mean of its divisors is an integer number (5412051).

Almost surely, 2^10824101 is an apocalyptic number.

It is an amenable number.

10824101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10824101 is an equidigital number, since it uses as much as digits as its factorization.

10824101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 10824101 is about 3290.0001519757. Note that the first 3 decimals coincide. The cubic root of 10824101 is about 221.2061915455.

Adding to 10824101 its reverse (10142801), we get a palindrome (20966902).

The spelling of 10824101 in words is "ten million, eight hundred twenty-four thousand, one hundred one".