1106116110105 has 32 divisors (see below), whose sum is σ = 1805560948224. Its totient is φ = 578032955136.

The previous prime is 1106116110079. The next prime is 1106116110109. The reversal of 1106116110105 is 5010116116011.

It is not a de Polignac number, because 1106116110105 - 2¹² = 1106116106009 is a prime.

It is a super-2 number, since 2×1106116110105² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1106116110109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317169 + ... + 1520798.

It is an arithmetic number, because the mean of its divisors is an integer number (56423779632).

Almost surely, 2^{1106116110105} is an apocalyptic number.

1106116110105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1106116110105 is a deficient number, since it is larger than the sum of its proper divisors (699444838119).

1106116110105 is a wasteful number, since it uses less digits than its factorization.

1106116110105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838785.

The product of its (nonzero) digits is 180, while the sum is 24.

The spelling of 1106116110105 in words is "one trillion, one hundred six billion, one hundred sixteen million, one hundred ten thousand, one hundred five".