195284448100 has 243 divisors, whose sum is σ = 506180755353. Its totient is φ = 65204704320.

The previous prime is 195284448097. The next prime is 195284448103. The reversal of 195284448100 is 1844482591.

The square root of 195284448100 is 441910.

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

It is an interprime number because it is at equal distance from previous prime (195284448097) and next prime (195284448103).

It can be written as a sum of positive squares in only one way, i.e., 70302401316 + 124982046784 = 265146^2 + 353528^2 .

It is a super-2 number, since 2×195284448100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (195284448103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1825088247 + ... + 1825088353.

Almost surely, 2^195284448100 is an apocalyptic number.

195284448100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195284448100 is the 441910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195284448100

195284448100 is an abundant number, since it is smaller than the sum of its proper divisors (310896307253).

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

195284448100 is a wasteful number, since it uses less digits than its factorization.

195284448100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 195284448100 in words is "one hundred ninety-five billion, two hundred eighty-four million, four hundred forty-eight thousand, one hundred".