105501105 has 12 divisors (see below), whose sum is σ = 182868660. Its totient is φ = 56267232.

The previous prime is 105501083. The next prime is 105501107. The reversal of 105501105 is 501105501.

105501105 is a `hidden beast` number, since 1 + 0 + 550 + 110 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54863649 + 50637456 = 7407^2 + 7116^2 .

It is not a de Polignac number, because 105501105 - 2¹⁰ = 105500081 is a prime.

It is a super-2 number, since 2×105501105² = 22260966312442050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105501107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1172190 + ... + 1172279.

It is an arithmetic number, because the mean of its divisors is an integer number (15239055).

Almost surely, 2^105501105 is an apocalyptic number.

105501105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105501105 is a deficient number, since it is larger than the sum of its proper divisors (77367555).

105501105 is a wasteful number, since it uses less digits than its factorization.

105501105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344480 (or 2344477 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 105501105 is about 10271.3730825046. The cubic root of 105501105 is about 472.5187025435.

Adding to 105501105 its reverse (501105501), we get a palindrome (606606606).

The spelling of 105501105 in words is "one hundred five million, five hundred one thousand, one hundred five".