55106106110505 has 24 divisors (see below), whose sum is σ = 95535658637640. Its totient is φ = 29384259244800.

The previous prime is 55106106110491. The next prime is 55106106110507. The reversal of 55106106110505 is 50501160160155.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6649095445056 + 48457010665449 = 2578584^2 + 6961107^2 .

It is not a de Polignac number, because 55106106110505 - 2⁶ = 55106106110441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55106106110505.

It is not an unprimeable number, because it can be changed into a prime (55106106110507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117764196 + ... + 118231205.

It is an arithmetic number, because the mean of its divisors is an integer number (3980652443235).

Almost surely, 2^{55106106110505} is an apocalyptic number.

It is an amenable number.

55106106110505 is a deficient number, since it is larger than the sum of its proper divisors (40429552527135).

55106106110505 is a wasteful number, since it uses less digits than its factorization.

55106106110505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236000601 (or 236000598 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 55106106110505 in words is "fifty-five trillion, one hundred six billion, one hundred six million, one hundred ten thousand, five hundred five".