105504420205521 has 14 divisors (see below), whose sum is σ = 158184267881250. Its totient is φ = 70336280136528.

The previous prime is 105504420205489. The next prime is 105504420205567. The reversal of 105504420205521 is 125502024405501.

105504420205521 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 4 + 420 + 205 + 5 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56567246054400 + 48937174151121 = 7521120^2 + 6995511^2 .

It is not a de Polignac number, because 105504420205521 - 2⁵ = 105504420205489 is a prime.

It is a super-2 number, since 2×105504420205521² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105504420205321) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 72362427396 + ... + 72362428853.

Almost surely, 2^{105504420205521} is an apocalyptic number.

It is an amenable number.

105504420205521 is a deficient number, since it is larger than the sum of its proper divisors (52679847675729).

105504420205521 is an frugal number, since it uses more digits than its factorization.

105504420205521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144724856267 (or 144724856252 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 105504420205521 in words is "one hundred five trillion, five hundred four billion, four hundred twenty million, two hundred five thousand, five hundred twenty-one".