106552321353 has 24 divisors (see below), whose sum is σ = 167366771208. Its totient is φ = 65049426432.

The previous prime is 106552321331. The next prime is 106552321373. The reversal of 106552321353 is 353123255601.

106552321353 is a `hidden beast` number, since 1 + 0 + 65 + 523 + 21 + 3 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22288101264 + 84264220089 = 149292^2 + 290283^2 .

It is not a de Polignac number, because 106552321353 - 2⁹ = 106552320841 is a prime.

It is a super-2 number, since 2×106552321353² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106552321303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9405426 + ... + 9416747.

It is an arithmetic number, because the mean of its divisors is an integer number (6973615467).

Almost surely, 2^106552321353 is an apocalyptic number.

It is an amenable number.

106552321353 is a deficient number, since it is larger than the sum of its proper divisors (60814449855).

106552321353 is a wasteful number, since it uses less digits than its factorization.

106552321353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18822233 (or 18822230 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 106552321353 its reverse (353123255601), we get a palindrome (459675576954).

The spelling of 106552321353 in words is "one hundred six billion, five hundred fifty-two million, three hundred twenty-one thousand, three hundred fifty-three".