109648 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 42240.

The previous prime is 109639. The next prime is 109661. The reversal of 109648 is 846901.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

109648 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 7 ways as a sum of consecutive naturals, for example, 1188 + ... + 1276.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁰⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

109648 is an abundant number, since it is smaller than the sum of its proper divisors (158192).

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

109648 is a wasteful number, since it uses less digits than its factorization.

109648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 109648 is about 331.1313938605. The cubic root of 109648 is about 47.8630354793.

109648 divided by its sum of digits (28) gives a triangular number (3916 = T₈₈).

It can be divided in two parts, 109 and 648, that added together give a palindrome (757).

The spelling of 109648 in words is "one hundred nine thousand, six hundred forty-eight".