105056105509 has 16 divisors (see below), whose sum is σ = 112581705600. Its totient is φ = 97741852416.

The previous prime is 105056105507. The next prime is 105056105527. The reversal of 105056105509 is 905501650501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105056105509 - 2¹ = 105056105507 is a prime.

It is a super-2 number, since 2×105056105509² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105056105507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160632 + ... + 485710.

It is an arithmetic number, because the mean of its divisors is an integer number (7036356600).

Almost surely, 2^105056105509 is an apocalyptic number.

105056105509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105056105509 is a deficient number, since it is larger than the sum of its proper divisors (7525600091).

105056105509 is a wasteful number, since it uses less digits than its factorization.

105056105509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325404.

The product of its (nonzero) digits is 33750, while the sum is 37.

The spelling of 105056105509 in words is "one hundred five billion, fifty-six million, one hundred five thousand, five hundred nine".