109536 has 48 divisors (see below), whose sum is σ = 330624. Its totient is φ = 31104.

The previous prime is 109519. The next prime is 109537. The reversal of 109536 is 635901.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (6888).

2¹⁰⁹⁵³⁶ is an apocalyptic number.

109536 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 109536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165312).

109536 is an abundant number, since it is smaller than the sum of its proper divisors (221088).

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

109536 is a wasteful number, since it uses less digits than its factorization.

109536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 109536 is about 330.9622334950. The cubic root of 109536 is about 47.8467333543.

The spelling of 109536 in words is "one hundred nine thousand, five hundred thirty-six".