199889468100 has 243 divisors, whose sum is σ = 729177572487. Its totient is φ = 45667560960.

The previous prime is 199889468071. The next prime is 199889468101. The reversal of 199889468100 is 1864988991.

The square root of 199889468100 is 447090.

It is a perfect power (a square), and thus also a powerful number.

199889468100 is a `hidden beast` number, since 1 + 9 + 98 + 89 + 468 + 1 + 0 + 0 = 666.

199889468100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30336582276 + 169552885824 = 174174^2 + 411768^2 .

It is a super-2 number, since 2×199889468100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (199889468101) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 93887836 + ... + 93889964.

Almost surely, 2^199889468100 is an apocalyptic number.

199889468100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199889468100 is the 447090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199889468100

199889468100 is an abundant number, since it is smaller than the sum of its proper divisors (529288104387).

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

199889468100 is a wasteful number, since it uses less digits than its factorization.

199889468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 199889468100 in words is "one hundred ninety-nine billion, eight hundred eighty-nine million, four hundred sixty-eight thousand, one hundred".