105056055506006 has 64 divisors (see below), whose sum is σ = 175305663339840. Its totient is φ = 47210033728000.

The previous prime is 105056055505987. The next prime is 105056055506009. The reversal of 105056055506006 is 600605550650501.

It is a super-2 number, since 2×105056055506006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105056055506009) 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, 181730990 + ... + 182308158.

It is an arithmetic number, because the mean of its divisors is an integer number (2739150989685).

Almost surely, 2^{105056055506006} is an apocalyptic number.

105056055506006 is a deficient number, since it is larger than the sum of its proper divisors (70249607833834).

105056055506006 is a wasteful number, since it uses less digits than its factorization.

105056055506006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577982 (or 577960 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 44.

The spelling of 105056055506006 in words is "one hundred five trillion, fifty-six billion, fifty-five million, five hundred six thousand, six".