109089288 has 192 divisors, whose sum is σ = 384955200. Its totient is φ = 28304640.

The previous prime is 109089287. The next prime is 109089293. The reversal of 109089288 is 882980901.

It is not an unprimeable number, because it can be changed into a prime (109089287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115956 + ... + 116892.

It is an arithmetic number, because the mean of its divisors is an integer number (2004975).

Almost surely, 2^109089288 is an apocalyptic number.

109089288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109089288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192477600).

109089288 is an abundant number, since it is smaller than the sum of its proper divisors (275865912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109089288 is a wasteful number, since it uses less digits than its factorization.

109089288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 109089288 is about 10444.5817532345. The cubic root of 109089288 is about 477.8160155123.

The spelling of 109089288 in words is "one hundred nine million, eighty-nine thousand, two hundred eighty-eight".