109200 has 120 divisors (see below), whose sum is σ = 430528. Its totient is φ = 23040.

The previous prime is 109199. The next prime is 109201. The reversal of 109200 is 2901.

Added to its reverse (2901) it gives a triangular number (112101 = T₄₇₃).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109199) and next prime (109201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (109201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8394 + ... + 8406.

2¹⁰⁹²⁰⁰ is an apocalyptic number.

109200 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 109200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215264).

109200 is an abundant number, since it is smaller than the sum of its proper divisors (321328).

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

109200 is a wasteful number, since it uses less digits than its factorization.

109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 109200 is about 330.4542328372. The cubic root of 109200 is about 47.7977602050.

Adding to 109200 its reverse (2901), we get a triangular number (112101 = T₄₇₃).

The spelling of 109200 in words is "one hundred nine thousand, two hundred".