198527852100 has 144 divisors (see below), whose sum is σ = 577886512896. Its totient is φ = 52621056000.

The previous prime is 198527852077. The next prime is 198527852123. The reversal of 198527852100 is 1258725891.

198527852100 is digitally balanced in base 2, 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 (198527852077) and next prime (198527852123).

It is a self number, because there is not a number n which added to its sum of digits gives 198527852100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37476652 + ... + 37481948.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100784).

Almost surely, 2^198527852100 is an apocalyptic number.

198527852100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198527852100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288943256448).

198527852100 is an abundant number, since it is smaller than the sum of its proper divisors (379358660796).

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

198527852100 is a wasteful number, since it uses less digits than its factorization.

198527852100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 198527852100 in words is "one hundred ninety-eight billion, five hundred twenty-seven million, eight hundred fifty-two thousand, one hundred".