105032353 has 2 divisors, whose sum is σ = 105032354. Its totient is φ = 105032352.

The previous prime is 105032339. The next prime is 105032363. The reversal of 105032353 is 353230501.

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., 54508689 + 50523664 = 7383^2 + 7108^2 .

It is a cyclic number.

It is not a de Polignac number, because 105032353 - 2⁵ = 105032321 is a prime.

It is a super-2 number, since 2×105032353² = 22063590353433218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105032363) 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, 52516176 + 52516177.

It is an arithmetic number, because the mean of its divisors is an integer number (52516177).

Almost surely, 2^105032353 is an apocalyptic number.

It is an amenable number.

105032353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032353 is an equidigital number, since it uses as much as digits as its factorization.

105032353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 105032353 is about 10248.5293091253. The cubic root of 105032353 is about 471.8178475172.

Adding to 105032353 its reverse (353230501), we get a palindrome (458262854).

The spelling of 105032353 in words is "one hundred five million, thirty-two thousand, three hundred fifty-three".