1001110106105 has 8 divisors (see below), whose sum is σ = 1201428640392. Its totient is φ = 800823742848.

The previous prime is 1001110106099. The next prime is 1001110106137. The reversal of 1001110106105 is 5016010111001.

It can be written as a sum of positive squares in 4 ways, for example, as 341163464464 + 659946641641 = 584092^2 + 812371^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001110106105 - 2¹⁰ = 1001110105081 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7974242 + ... + 8098811.

It is an arithmetic number, because the mean of its divisors is an integer number (150178580049).

Almost surely, 2^{1001110106105} is an apocalyptic number.

It is an amenable number.

1001110106105 is a deficient number, since it is larger than the sum of its proper divisors (200318534287).

1001110106105 is a wasteful number, since it uses less digits than its factorization.

1001110106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16085515.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 1001110106105 its reverse (5016010111001), we get a palindrome (6017120217106).

The spelling of 1001110106105 in words is "one trillion, one billion, one hundred ten million, one hundred six thousand, one hundred five".