105522300341353 has 6 divisors (see below), whose sum is σ = 122750431009386. Its totient is φ = 90447686006832.

The previous prime is 105522300341351. The next prime is 105522300341389. The reversal of 105522300341353 is 353143003225501.

It can be written as a sum of positive squares in only one way, i.e., 86796575995024 + 18725724346329 = 9316468^2 + 4327323^2 .

It is not a de Polignac number, because 105522300341353 - 2¹ = 105522300341351 is a prime.

It is a super-2 number, since 2×105522300341353² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105522300341351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1076758166700 + ... + 1076758166797.

It is an arithmetic number, because the mean of its divisors is an integer number (20458405168231).

Almost surely, 2^{105522300341353} is an apocalyptic number.

It is an amenable number.

105522300341353 is a deficient number, since it is larger than the sum of its proper divisors (17228130668033).

105522300341353 is an equidigital number, since it uses as much as digits as its factorization.

105522300341353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153516333511 (or 2153516333504 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

Adding to 105522300341353 its reverse (353143003225501), we get a palindrome (458665303566854).

The spelling of 105522300341353 in words is "one hundred five trillion, five hundred twenty-two billion, three hundred million, three hundred forty-one thousand, three hundred fifty-three".