109890288 has 120 divisors (see below), whose sum is σ = 321884160. Its totient is φ = 34957440.

The previous prime is 109890283. The next prime is 109890301. The reversal of 109890288 is 882098901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109890283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459673 + ... + 459911.

It is an arithmetic number, because the mean of its divisors is an integer number (2682368).

Almost surely, 2^109890288 is an apocalyptic number.

109890288 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 109890288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160942080).

109890288 is an abundant number, since it is smaller than the sum of its proper divisors (211993872).

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

109890288 is a wasteful number, since it uses less digits than its factorization.

109890288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

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

The square root of 109890288 is about 10482.8568625161. The cubic root of 109890288 is about 478.9826368824.

The spelling of 109890288 in words is "one hundred nine million, eight hundred ninety thousand, two hundred eighty-eight".