110085267681 has 9 divisors (see below), whose sum is σ = 159013491091. Its totient is φ = 73389514872.

The previous prime is 110085267653. The next prime is 110085267709. The reversal of 110085267681 is 186762580011.

The square root of 110085267681 is 331791.

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

110085267681 is a `hidden beast` number, since 110 + 0 + 8 + 526 + 7 + 6 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (110085267653) and next prime (110085267709).

It can be written as a sum of positive squares in only one way, i.e., 77715500625 + 32369767056 = 278775^2 + 179916^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 110085267681 - 2²¹ = 110083170529 is a prime.

It is a super-2 number, since 2×110085267681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110085267631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 940075 + ... + 1050671.

Almost surely, 2^110085267681 is an apocalyptic number.

110085267681 is the 331791-st square number.

110085267681 is the 165896-th centered octagonal number.

It is an amenable number.

110085267681 is a deficient number, since it is larger than the sum of its proper divisors (48928223410).

110085267681 is an frugal number, since it uses more digits than its factorization.

110085267681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221200 (or 110600 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 110085267681 in words is "one hundred ten billion, eighty-five million, two hundred sixty-seven thousand, six hundred eighty-one".