109528164 has 18 divisors (see below), whose sum is σ = 276862950. Its totient is φ = 36509376.

The previous prime is 109528163. The next prime is 109528169. The reversal of 109528164 is 461825901.

It can be written as a sum of positive squares in only one way, i.e., 104652900 + 4875264 = 10230^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3042449 = 109528164 / (1 + 0 + 9 + 5 + 2 + 8 + 1 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (109528163) 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 5 ways as a sum of consecutive naturals, for example, 1521189 + ... + 1521260.

It is an arithmetic number, because the mean of its divisors is an integer number (15381275).

Almost surely, 2^109528164 is an apocalyptic number.

It is an amenable number.

109528164 is an abundant number, since it is smaller than the sum of its proper divisors (167334786).

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

109528164 is a wasteful number, since it uses less digits than its factorization.

109528164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042459 (or 3042454 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 109528164 is about 10465.5704096815. The cubic root of 109528164 is about 478.4559237186.

The spelling of 109528164 in words is "one hundred nine million, five hundred twenty-eight thousand, one hundred sixty-four".