101106105107 has 16 divisors (see below), whose sum is σ = 121641757440. Its totient is φ = 82094210208.

The previous prime is 101106105073. The next prime is 101106105127. The reversal of 101106105107 is 701501601101.

It is a cyclic number.

It is not a de Polignac number, because 101106105107 - 2²⁰ = 101105056531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101106105127) 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, 2027153 + ... + 2076429.

It is an arithmetic number, because the mean of its divisors is an integer number (7602609840).

Almost surely, 2^101106105107 is an apocalyptic number.

101106105107 is a deficient number, since it is larger than the sum of its proper divisors (20535652333).

101106105107 is a wasteful number, since it uses less digits than its factorization.

101106105107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64730.

The product of its (nonzero) digits is 210, while the sum is 23.

Adding to 101106105107 its reverse (701501601101), we get a palindrome (802607706208).

The spelling of 101106105107 in words is "one hundred one billion, one hundred six million, one hundred five thousand, one hundred seven".