198947100 has 216 divisors, whose sum is σ = 666707328. Its totient is φ = 45417600.

The previous prime is 198947087. The next prime is 198947117. The reversal of 198947100 is 1749891.

It is a happy number.

It is a super-3 number, since 3×198947100³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1191217 + ... + 1191383.

It is an arithmetic number, because the mean of its divisors is an integer number (3086608).

Almost surely, 2^198947100 is an apocalyptic number.

198947100 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 198947100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333353664).

198947100 is an abundant number, since it is smaller than the sum of its proper divisors (467760228).

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

198947100 is a wasteful number, since it uses less digits than its factorization.

198947100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 198947100 is about 14104.8608642553. The cubic root of 198947100 is about 583.7755087307.

The spelling of 198947100 in words is "one hundred ninety-eight million, nine hundred forty-seven thousand, one hundred".