105552304345 has 8 divisors (see below), whose sum is σ = 128739204360. Its totient is φ = 83057550720.

The previous prime is 105552304339. The next prime is 105552304349. The reversal of 105552304345 is 543403255501.

It can be written as a sum of positive squares in 4 ways, for example, as 431102169 + 105121202176 = 20763^2 + 324224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105552304345 - 2¹³ = 105552296153 is a prime.

It is a super-2 number, since 2×105552304345² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105552304349) 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 7 ways as a sum of consecutive naturals, for example, 173036260 + ... + 173036869.

It is an arithmetic number, because the mean of its divisors is an integer number (16092400545).

Almost surely, 2^105552304345 is an apocalyptic number.

It is an amenable number.

105552304345 is a deficient number, since it is larger than the sum of its proper divisors (23186900015).

105552304345 is an equidigital number, since it uses as much as digits as its factorization.

105552304345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346073195.

The product of its (nonzero) digits is 180000, while the sum is 37.

Adding to 105552304345 its reverse (543403255501), we get a palindrome (648955559846).

The spelling of 105552304345 in words is "one hundred five billion, five hundred fifty-two million, three hundred four thousand, three hundred forty-five".