110106105505001 has 16 divisors (see below), whose sum is σ = 111700426481280. Its totient is φ = 108514125198720.

The previous prime is 110106105504973. The next prime is 110106105505069. The reversal of 110106105505001 is 100505501601011.

It is a cyclic number.

It is not a de Polignac number, because 110106105505001 - 2¹⁸ = 110106105242857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110106105508001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118312891 + ... + 1118411343.

It is an arithmetic number, because the mean of its divisors is an integer number (6981276655080).

Almost surely, 2^{110106105505001} is an apocalyptic number.

It is an amenable number.

110106105505001 is a deficient number, since it is larger than the sum of its proper divisors (1594320976279).

110106105505001 is a wasteful number, since it uses less digits than its factorization.

110106105505001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110176.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 110106105505001 in words is "one hundred ten trillion, one hundred six billion, one hundred five million, five hundred five thousand, one".