105532121 has 2 divisors, whose sum is σ = 105532122. Its totient is φ = 105532120.

The previous prime is 105532111. The next prime is 105532127. The reversal of 105532121 is 121235501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87984400 + 17547721 = 9380^2 + 4189^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105532121 is a prime.

It is a super-2 number, since 2×105532121² = 22274057125517282, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105532093 and 105532102.

It is not a weakly prime, because it can be changed into another prime (105532127) 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, 52766060 + 52766061.

It is an arithmetic number, because the mean of its divisors is an integer number (52766061).

Almost surely, 2^105532121 is an apocalyptic number.

It is an amenable number.

105532121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105532121 is an equidigital number, since it uses as much as digits as its factorization.

105532121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105532121 is about 10272.8827989031. The cubic root of 105532121 is about 472.5650028615.

Adding to 105532121 its reverse (121235501), we get a palindrome (226767622).

The spelling of 105532121 in words is "one hundred five million, five hundred thirty-two thousand, one hundred twenty-one".