199098900 has 648 divisors, whose sum is σ = 892067904. Its totient is φ = 35942400.

The previous prime is 199098877. The next prime is 199098943. The reversal of 199098900 is 9890991.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11711692 + ... + 11711708.

It is an arithmetic number, because the mean of its divisors is an integer number (1376648).

Almost surely, 2^199098900 is an apocalyptic number.

199098900 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 199098900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446033952).

199098900 is an abundant number, since it is smaller than the sum of its proper divisors (692969004).

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

199098900 is a wasteful number, since it uses less digits than its factorization.

199098900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 199098900 is about 14110.2409617979. The cubic root of 199098900 is about 583.9239478434.

The spelling of 199098900 in words is "one hundred ninety-nine million, ninety-eight thousand, nine hundred".