105561000105 has 32 divisors (see below), whose sum is σ = 187001975808. Its totient is φ = 50417188800.

The previous prime is 105561000067. The next prime is 105561000119. The reversal of 105561000105 is 501000165501.

It is not a de Polignac number, because 105561000105 - 2²⁰ = 105559951529 is a prime.

It is a super-2 number, since 2×105561000105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4763301 + ... + 4785410.

It is an arithmetic number, because the mean of its divisors is an integer number (5843811744).

Almost surely, 2^105561000105 is an apocalyptic number.

105561000105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105561000105 is a deficient number, since it is larger than the sum of its proper divisors (81440975703).

105561000105 is a wasteful number, since it uses less digits than its factorization.

105561000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548797.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105561000105 its reverse (501000165501), we get a palindrome (606561165606).

The spelling of 105561000105 in words is "one hundred five billion, five hundred sixty-one million, one hundred five", and thus it is an aban number.