198941100 has 72 divisors (see below), whose sum is σ = 577963008. Its totient is φ = 52833600.

The previous prime is 198941087. The next prime is 198941107. The reversal of 198941100 is 1149891.

It is a super-2 number, since 2×198941100² = 79155122538420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (198941107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80077 + ... + 82523.

It is an arithmetic number, because the mean of its divisors is an integer number (8027264).

Almost surely, 2^198941100 is an apocalyptic number.

198941100 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 198941100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288981504).

198941100 is an abundant number, since it is smaller than the sum of its proper divisors (379021908).

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

198941100 is a wasteful number, since it uses less digits than its factorization.

198941100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 198941100 is about 14104.6481700183. The cubic root of 198941100 is about 583.7696400211.

The spelling of 198941100 in words is "one hundred ninety-eight million, nine hundred forty-one thousand, one hundred".