110811091689 has 21 divisors (see below), whose sum is σ = 166154112103. Its totient is φ = 73868069232.

The previous prime is 110811091667. The next prime is 110811091693. The reversal of 110811091689 is 986190118011.

It is a happy number.

The square root of 110811091689 is 332883.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 161722089 + 110649369600 = 12717^2 + 332640^2 .

It is not a de Polignac number, because 110811091689 - 2¹⁹ = 110810567401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110811091649) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8981677 + ... + 8994005.

Almost surely, 2^110811091689 is an apocalyptic number.

110811091689 is the 332883-rd square number.

110811091689 is the 166442-nd centered octagonal number.

It is an amenable number.

110811091689 is a deficient number, since it is larger than the sum of its proper divisors (55343020414).

110811091689 is an frugal number, since it uses more digits than its factorization.

110811091689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24676 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 45.

The spelling of 110811091689 in words is "one hundred ten billion, eight hundred eleven million, ninety-one thousand, six hundred eighty-nine".