109530 has 24 divisors (see below), whose sum is σ = 285012. Its totient is φ = 29184.

The previous prime is 109519. The next prime is 109537. The reversal of 109530 is 35901.

109530 = 146² + 147² + ... + 150².

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 2601 = 327^2 + 51^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 11 ways as a sum of consecutive naturals, for example, 519 + ... + 698.

2¹⁰⁹⁵³⁰ is an apocalyptic number.

109530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109530 is an abundant number, since it is smaller than the sum of its proper divisors (175482).

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

109530 is a wasteful number, since it uses less digits than its factorization.

109530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 109530 is about 330.9531688925. The cubic root of 109530 is about 47.8458597126.

The spelling of 109530 in words is "one hundred nine thousand, five hundred thirty".