105055011009 has 24 divisors (see below), whose sum is σ = 163456773480. Its totient is φ = 64634257152.

The previous prime is 105055011001. The next prime is 105055011011. The reversal of 105055011009 is 900110550501.

105055011009 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 550 + 1 + 100 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4083593409 + 100971417600 = 63903^2 + 317760^2 .

It is not a de Polignac number, because 105055011009 - 2³ = 105055011001 is a prime.

It is a super-2 number, since 2×105055011009² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105055011001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414027 + ... + 617679.

It is an arithmetic number, because the mean of its divisors is an integer number (6810698895).

Almost surely, 2^105055011009 is an apocalyptic number.

It is an amenable number.

105055011009 is a deficient number, since it is larger than the sum of its proper divisors (58401762471).

105055011009 is a wasteful number, since it uses less digits than its factorization.

105055011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208081 (or 208078 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The spelling of 105055011009 in words is "one hundred five billion, fifty-five million, eleven thousand, nine".