105005550105555 has 16 divisors (see below), whose sum is σ = 183282414729984. Its totient is φ = 50911781869280.

The previous prime is 105005550105553. The next prime is 105005550105563. The reversal of 105005550105555 is 555501055500501.

It is not a de Polignac number, because 105005550105555 - 2¹ = 105005550105553 is a prime.

It is a super-3 number, since 3×105005550105555³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105005550105553) 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, 318198636519 + ... + 318198636848.

It is an arithmetic number, because the mean of its divisors is an integer number (11455150920624).

Almost surely, 2^{105005550105555} is an apocalyptic number.

105005550105555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105005550105555 is a deficient number, since it is larger than the sum of its proper divisors (78276864624429).

105005550105555 is a wasteful number, since it uses less digits than its factorization.

105005550105555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636397273386.

The product of its (nonzero) digits is 390625, while the sum is 42.

The spelling of 105005550105555 in words is "one hundred five trillion, five billion, five hundred fifty million, one hundred five thousand, five hundred fifty-five".