195019392100 has 243 divisors, whose sum is σ = 475168046283. Its totient is φ = 69442289280.

The previous prime is 195019392083. The next prime is 195019392107. The reversal of 195019392100 is 1293910591.

The square root of 195019392100 is 441610.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50266536804 + 144752855296 = 224202^2 + 380464^2 .

It is a super-3 number, since 3×195019392100³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (195019392107) 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 80 ways as a sum of consecutive naturals, for example, 2468599861 + ... + 2468599939.

Almost surely, 2^195019392100 is an apocalyptic number.

195019392100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195019392100 is the 441610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195019392100

195019392100 is an abundant number, since it is smaller than the sum of its proper divisors (280148654183).

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

195019392100 is a wasteful number, since it uses less digits than its factorization.

195019392100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 40.

The spelling of 195019392100 in words is "one hundred ninety-five billion, nineteen million, three hundred ninety-two thousand, one hundred".