198105564 has 48 divisors (see below), whose sum is σ = 474743808. Its totient is φ = 64266048.

The previous prime is 198105559. The next prime is 198105569. The reversal of 198105564 is 465501891.

198105564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198105559) and next prime (198105569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198105569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110217 + ... + 111999.

It is an arithmetic number, because the mean of its divisors is an integer number (9890496).

Almost surely, 2^198105564 is an apocalyptic number.

It is an amenable number.

198105564 is an abundant number, since it is smaller than the sum of its proper divisors (276638244).

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

198105564 is a wasteful number, since it uses less digits than its factorization.

198105564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 198105564 is about 14074.9978330371. The cubic root of 198105564 is about 582.9512319614.

The spelling of 198105564 in words is "one hundred ninety-eight million, one hundred five thousand, five hundred sixty-four".