105005006055504 has 80 divisors (see below), whose sum is σ = 311796473956800. Its totient is φ = 33794714588544.

The previous prime is 105005006055503. The next prime is 105005006055541. The reversal of 105005006055504 is 405550600500501.

105005006055504 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 50 + 0 + 6 + 0 + 5 + 550 + 4 = 666.

It is a super-2 number, since 2×105005006055504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005006055503) by changing a digit.

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, 4190800294 + ... + 4190825349.

It is an arithmetic number, because the mean of its divisors is an integer number (3897455924460).

Almost surely, 2^{105005006055504} is an apocalyptic number.

It is an amenable number.

105005006055504 is an abundant number, since it is smaller than the sum of its proper divisors (206791467901296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105005006055504 is a wasteful number, since it uses less digits than its factorization.

105005006055504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8381625689 (or 8381625677 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 105005006055504 in words is "one hundred five trillion, five billion, six million, fifty-five thousand, five hundred four".