110883006081 has 27 divisors (see below), whose sum is σ = 166356525153. Its totient is φ = 73904022540.

The previous prime is 110883006061. The next prime is 110883006119. The reversal of 110883006081 is 180600388011.

The square root of 110883006081 is 332991.

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

110883006081 is a `hidden beast` number, since 1 + 10 + 8 + 8 + 30 + 0 + 608 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 110883006081 - 2¹³ = 110882997889 is a prime.

It is a super-3 number, since 3×110883006081³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (110883006061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26970216 + ... + 26974326.

Almost surely, 2^110883006081 is an apocalyptic number.

110883006081 is the 332991-st square number.

110883006081 is the 166496-th centered octagonal number.

It is an amenable number.

110883006081 is a deficient number, since it is larger than the sum of its proper divisors (55473519072).

110883006081 is an frugal number, since it uses more digits than its factorization.

110883006081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Multiplying 110883006081 by its sum of digits (36), we get a square (3991788218916 = 1997946²).

It can be divided in two parts, 11088 and 3006081, that added together give a square (3017169 = 1737²).

The spelling of 110883006081 in words is "one hundred ten billion, eight hundred eighty-three million, six thousand, eighty-one".