198788100 has 108 divisors (see below), whose sum is σ = 669113424. Its totient is φ = 45433920.

The previous prime is 198788063. The next prime is 198788113. The reversal of 198788100 is 1887891.

It is a super-2 number, since 2×198788100² = 79033417403220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7939 + ... + 21461.

Almost surely, 2^198788100 is an apocalyptic number.

198788100 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 198788100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334556712).

198788100 is an abundant number, since it is smaller than the sum of its proper divisors (470325324).

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

198788100 is a wasteful number, since it uses less digits than its factorization.

198788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13554 (or 13540 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The square root of 198788100 is about 14099.2233828676. The cubic root of 198788100 is about 583.6199480407.

The spelling of 198788100 in words is "one hundred ninety-eight million, seven hundred eighty-eight thousand, one hundred".