109500 has 48 divisors (see below), whose sum is σ = 323232. Its totient is φ = 28800.

The previous prime is 109481. The next prime is 109507. The reversal of 109500 is 5901.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 109500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109507) by changing a digit.

109500 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464 + ... + 1536.

It is an arithmetic number, because the mean of its divisors is an integer number (6734).

2¹⁰⁹⁵⁰⁰ is an apocalyptic number.

109500 is a gapful number since it is divisible by the number (10) 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 109500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161616).

109500 is an abundant number, since it is smaller than the sum of its proper divisors (213732).

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

109500 is a wasteful number, since it uses less digits than its factorization.

109500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 109500 is about 330.9078421555. The cubic root of 109500 is about 47.8414910256.

The spelling of 109500 in words is "one hundred nine thousand, five hundred".