110855036601 has 81 divisors (see below), whose sum is σ = 171711290829. Its totient is φ = 68912452224.

The previous prime is 110855036527. The next prime is 110855036603. The reversal of 110855036601 is 106630558011.

The square root of 110855036601 is 332949.

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

110855036601 is a `hidden beast` number, since 1 + 10 + 8 + 5 + 5 + 0 + 36 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10150361001 + 100704675600 = 100749^2 + 317340^2 .

It is not a de Polignac number, because 110855036601 - 2²⁵ = 110821482169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110855036603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1245562165 + ... + 1245562253.

Almost surely, 2^110855036601 is an apocalyptic number.

110855036601 is the 332949-th square number.

110855036601 is the 166475-th centered octagonal number.

It is an amenable number.

110855036601 is a deficient number, since it is larger than the sum of its proper divisors (60856254228).

110855036601 is an frugal number, since it uses more digits than its factorization.

110855036601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 110855036601 by its sum of digits (36), we get a square (3990781317636 = 1997694²).

The spelling of 110855036601 in words is "one hundred ten billion, eight hundred fifty-five million, thirty-six thousand, six hundred one".