1001106106105 has 16 divisors (see below), whose sum is σ = 1373150177280. Its totient is φ = 686370428352.

The previous prime is 1001106106087. The next prime is 1001106106139. The reversal of 1001106106105 is 5016016011001.

It is not a de Polignac number, because 1001106106105 - 2¹¹ = 1001106104057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1893354 + ... + 2363683.

It is an arithmetic number, because the mean of its divisors is an integer number (85821886080).

Almost surely, 2^{1001106106105} is an apocalyptic number.

It is an amenable number.

1001106106105 is a deficient number, since it is larger than the sum of its proper divisors (372044071175).

1001106106105 is an equidigital number, since it uses as much as digits as its factorization.

1001106106105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263768.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 1001106106105 in words is "one trillion, one billion, one hundred six million, one hundred six thousand, one hundred five".