105561353 has 2 divisors, whose sum is σ = 105561354. Its totient is φ = 105561352.

The previous prime is 105561299. The next prime is 105561367. The reversal of 105561353 is 353165501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97081609 + 8479744 = 9853^2 + 2912^2 .

It is a cyclic number.

It is not a de Polignac number, because 105561353 - 2¹⁴ = 105544969 is a prime.

It is a super-2 number, since 2×105561353² = 22286398494381218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105561383) 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, 52780676 + 52780677.

It is an arithmetic number, because the mean of its divisors is an integer number (52780677).

Almost surely, 2^105561353 is an apocalyptic number.

It is an amenable number.

105561353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105561353 is an equidigital number, since it uses as much as digits as its factorization.

105561353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6750, while the sum is 29.

The square root of 105561353 is about 10274.3054753107. The cubic root of 105561353 is about 472.6086317419.

The spelling of 105561353 in words is "one hundred five million, five hundred sixty-one thousand, three hundred fifty-three".