105506106005005 has 32 divisors (see below), whose sum is σ = 131382133456896. Its totient is φ = 81250501800000.

The previous prime is 105506106004967. The next prime is 105506106005009. The reversal of 105506106005005 is 500500601605501.

It is not a de Polignac number, because 105506106005005 - 2²³ = 105506097616397 is a prime.

It is a super-3 number, since 3×105506106005005³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

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, 696559530 + ... + 696710980.

It is an arithmetic number, because the mean of its divisors is an integer number (4105691670528).

Almost surely, 2^{105506106005005} is an apocalyptic number.

It is an amenable number.

105506106005005 is a deficient number, since it is larger than the sum of its proper divisors (25876027451891).

105506106005005 is a wasteful number, since it uses less digits than its factorization.

105506106005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175209.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 105506106005005 in words is "one hundred five trillion, five hundred six billion, one hundred six million, five thousand, five".