105506005004 has 12 divisors (see below), whose sum is σ = 184721761728. Its totient is φ = 52728358800.

The previous prime is 105506004997. The next prime is 105506005009. The reversal of 105506005004 is 400500605501.

105506005004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105506005004² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105506005009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6151292 + ... + 6168419.

It is an arithmetic number, because the mean of its divisors is an integer number (15393480144).

Almost surely, 2^105506005004 is an apocalyptic number.

It is an amenable number.

105506005004 is a deficient number, since it is larger than the sum of its proper divisors (79215756724).

105506005004 is a wasteful number, since it uses less digits than its factorization.

105506005004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12321856 (or 12321854 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 105506005004 in words is "one hundred five billion, five hundred six million, five thousand, four".