5506105510105 has 16 divisors (see below), whose sum is σ = 6847011605520. Its totient is φ = 4245620908032.

The previous prime is 5506105510013. The next prime is 5506105510109. The reversal of 5506105510105 is 5010155016055.

It can be written as a sum of positive squares in 8 ways, for example, as 979440770889 + 4526664739216 = 989667^2 + 2127596^2 .

It is a cyclic number.

It is not a de Polignac number, because 5506105510105 - 2¹³ = 5506105501913 is a prime.

It is a super-2 number, since 2×5506105510105² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5506105510109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32822004 + ... + 32989333.

It is an arithmetic number, because the mean of its divisors is an integer number (427938225345).

Almost surely, 2^{5506105510105} is an apocalyptic number.

It is an amenable number.

5506105510105 is a deficient number, since it is larger than the sum of its proper divisors (1340906095415).

5506105510105 is a wasteful number, since it uses less digits than its factorization.

5506105510105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65811948.

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 5506105510105 in words is "five trillion, five hundred six billion, one hundred five million, five hundred ten thousand, one hundred five".