105532513 has 2 divisors, whose sum is σ = 105532514. Its totient is φ = 105532512.

The previous prime is 105532499. The next prime is 105532519. The reversal of 105532513 is 315235501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54937744 + 50594769 = 7412^2 + 7113^2 .

It is a cyclic number.

It is not a de Polignac number, because 105532513 - 2⁹ = 105532001 is a prime.

It is a super-2 number, since 2×105532513² = 22274222600190338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105532519) 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, 52766256 + 52766257.

It is an arithmetic number, because the mean of its divisors is an integer number (52766257).

Almost surely, 2^105532513 is an apocalyptic number.

It is an amenable number.

105532513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105532513 is an equidigital number, since it uses as much as digits as its factorization.

105532513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 105532513 is about 10272.9018782426. The cubic root of 105532513 is about 472.5655879764.

The spelling of 105532513 in words is "one hundred five million, five hundred thirty-two thousand, five hundred thirteen".