109088256 has 160 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 33546240.

The previous prime is 109088183. The next prime is 109088263. The reversal of 109088256 is 652880901.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1380825 + ... + 1380903.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 2^109088256 is an apocalyptic number.

109088256 is a gapful number since it is divisible by the number (16) 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 109088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

109088256 is an abundant number, since it is smaller than the sum of its proper divisors (205177344).

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

109088256 is an equidigital number, since it uses as much as digits as its factorization.

109088256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 109088256 is about 10444.5323495119. The cubic root of 109088256 is about 477.8145087719.

The spelling of 109088256 in words is "one hundred nine million, eighty-eight thousand, two hundred fifty-six".