101100106105 has 16 divisors (see below), whose sum is σ = 128786870160. Its totient is φ = 75926720512.

The previous prime is 101100106103. The next prime is 101100106111. The reversal of 101100106105 is 501601001101.

It can be written as a sum of positive squares in 8 ways, for example, as 10900195216 + 90199910889 = 104404^2 + 300333^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100106105 - 2¹ = 101100106103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100106103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1495744 + ... + 1561873.

It is an arithmetic number, because the mean of its divisors is an integer number (8049179385).

Almost surely, 2^101100106105 is an apocalyptic number.

It is an amenable number.

101100106105 is a deficient number, since it is larger than the sum of its proper divisors (27686764055).

101100106105 is a wasteful number, since it uses less digits than its factorization.

101100106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058028.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 101100106105 its reverse (501601001101), we get a palindrome (602701107206).

The spelling of 101100106105 in words is "one hundred one billion, one hundred million, one hundred six thousand, one hundred five".