109125 has 24 divisors (see below), whose sum is σ = 198744. Its totient is φ = 57600.

The previous prime is 109121. The next prime is 109133. The reversal of 109125 is 521901.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 103041 = 78^2 + 321^2 .

It is not a de Polignac number, because 109125 - 2² = 109121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 109098 and 109107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109125.

It is not an unprimeable number, because it can be changed into a prime (109121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (8281).

2¹⁰⁹¹²⁵ is an apocalyptic number.

109125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109125 is a deficient number, since it is larger than the sum of its proper divisors (89619).

109125 is an equidigital number, since it uses as much as digits as its factorization.

109125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 109125 is about 330.3407331832. The cubic root of 109125 is about 47.7868149882.

The spelling of 109125 in words is "one hundred nine thousand, one hundred twenty-five".