109281312 has 240 divisors, whose sum is σ = 387858240. Its totient is φ = 29486592.

The previous prime is 109281281. The next prime is 109281371. The reversal of 109281312 is 213182901.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 344578 + ... + 344894.

It is an arithmetic number, because the mean of its divisors is an integer number (1616076).

Almost surely, 2^109281312 is an apocalyptic number.

109281312 is a gapful number since it is divisible by the number (12) 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 109281312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193929120).

109281312 is an abundant number, since it is smaller than the sum of its proper divisors (278576928).

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

109281312 is a wasteful number, since it uses less digits than its factorization.

109281312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 109281312 is about 10453.7702289652. The cubic root of 109281312 is about 478.0962091083.

The spelling of 109281312 in words is "one hundred nine million, two hundred eighty-one thousand, three hundred twelve".