110010010880105 has 64 divisors (see below), whose sum is σ = 154921213440000. Its totient is φ = 73437841306368.

The previous prime is 110010010880087. The next prime is 110010010880123. The reversal of 110010010880105 is 501088010010011.

It is an interprime number because it is at equal distance from previous prime (110010010880087) and next prime (110010010880123).

It is not a de Polignac number, because 110010010880105 - 2¹⁴ = 110010010863721 is a prime.

It is a super-2 number, since 2×110010010880105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113470196 + ... + 114435594.

It is an arithmetic number, because the mean of its divisors is an integer number (2420643960000).

Almost surely, 2^{110010010880105} is an apocalyptic number.

It is an amenable number.

110010010880105 is a deficient number, since it is larger than the sum of its proper divisors (44911202559895).

110010010880105 is a wasteful number, since it uses less digits than its factorization.

110010010880105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966006.

The product of its (nonzero) digits is 320, while the sum is 26.

Adding to 110010010880105 its reverse (501088010010011), we get a palindrome (611098020890116).

The spelling of 110010010880105 in words is "one hundred ten trillion, ten billion, ten million, eight hundred eighty thousand, one hundred five".