198528100 has 27 divisors (see below), whose sum is σ = 431111947. Its totient is φ = 79354880.

The previous prime is 198528079. The next prime is 198528137. The reversal of 198528100 is 1825891.

The square root of 198528100 is 14090.

It is a perfect power (a square), and thus also a powerful number.

198528100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104980516 + 93547584 = 10246^2 + 9672^2 .

It is a super-4 number, since 4×198528100⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140196 + ... + 141604.

Almost surely, 2^198528100 is an apocalyptic number.

198528100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198528100 is the 14090-th square number.

It is an amenable number.

198528100 is an abundant number, since it is smaller than the sum of its proper divisors (232583847).

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

198528100 is an equidigital number, since it uses as much as digits as its factorization.

198528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The cubic root of 198528100 is about 583.3653932493.

The spelling of 198528100 in words is "one hundred ninety-eight million, five hundred twenty-eight thousand, one hundred".