110889 has 15 divisors (see below), whose sum is σ = 170247. Its totient is φ = 71928.

The previous prime is 110881. The next prime is 110899. The reversal of 110889 is 988011.

Multipling 110889 by its product of nonzero digits (576), we get a square (63872064 = 7992^{2}).

It can be divided in two parts, 110 and 889, that added together give a palindrome (999).

110889 = T_{332} + T_{333}.

The square root of 110889 is 333.

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., 99225 + 11664 = 315^2 + 108^2 .

It is not a de Polignac number, because 110889 - 2^{3} = 110881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

110889 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (110881) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2979 + ... + 3015.

2^{110889} is an apocalyptic number.

110889 is the 333-rd square number.

110889 is the 167-th centered octagonal number.

It is an amenable number.

110889 is a deficient number, since it is larger than the sum of its proper divisors (59358).

110889 is an frugal number, since it uses more digits than its factorization.

110889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The cubic root of 110889 is about 48.0429303424.

The spelling of 110889 in words is "one hundred ten thousand, eight hundred eighty-nine".

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