109248 has 28 divisors (see below), whose sum is σ = 289560. Its totient is φ = 36352.

The previous prime is 109229. The next prime is 109253. The reversal of 109248 is 842901.

109248 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

109248 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 93 + ... + 476.

2¹⁰⁹²⁴⁸ is an apocalyptic number.

It is an amenable number.

109248 is an abundant number, since it is smaller than the sum of its proper divisors (180312).

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

109248 is an equidigital number, since it uses as much as digits as its factorization.

109248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 109248 is about 330.5268521618. The cubic root of 109248 is about 47.8047625140.

The spelling of 109248 in words is "one hundred nine thousand, two hundred forty-eight".