105506106005004 has 96 divisors (see below), whose sum is σ = 250447441712832. Its totient is φ = 34560276480000.

The previous prime is 105506106004967. The next prime is 105506106005009. The reversal of 105506106005004 is 400500601605501.

It is a super-3 number, since 3×105506106005004³ (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 (105506106005009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4009034454 + ... + 4009060770.

It is an arithmetic number, because the mean of its divisors is an integer number (2608827517842).

Almost surely, 2^{105506106005004} is an apocalyptic number.

It is an amenable number.

105506106005004 is an abundant number, since it is smaller than the sum of its proper divisors (144941335707828).

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

105506106005004 is a wasteful number, since it uses less digits than its factorization.

105506106005004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31227 (or 31225 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 105506106005004 in words is "one hundred five trillion, five hundred six billion, one hundred six million, five thousand, four".