220505417105 has 16 divisors (see below), whose sum is σ = 271139778000. Its totient is φ = 172051338240.

The previous prime is 220505417089. The next prime is 220505417123. The reversal of 220505417105 is 501714505022.

220505417105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 38004722704 + 182500694401 = 194948^2 + 427201^2 .

It is not a de Polignac number, because 220505417105 - 2⁴ = 220505417089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551111 + ... + 862979.

It is an arithmetic number, because the mean of its divisors is an integer number (16946236125).

Almost surely, 2^220505417105 is an apocalyptic number.

It is an amenable number.

220505417105 is a deficient number, since it is larger than the sum of its proper divisors (50634360895).

220505417105 is a wasteful number, since it uses less digits than its factorization.

220505417105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315364.

The product of its (nonzero) digits is 14000, while the sum is 32.

The spelling of 220505417105 in words is "two hundred twenty billion, five hundred five million, four hundred seventeen thousand, one hundred five".