195903612100 has 81 divisors (see below), whose sum is σ = 494594910957. Its totient is φ = 67156330080.

The previous prime is 195903612083. The next prime is 195903612133. The reversal of 195903612100 is 1216309591.

It is a happy number.

The square root of 195903612100 is 442610.

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

195903612100 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 only one way, i.e., 70525300356 + 125378311744 = 265566^2 + 354088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 195903612100.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 30979539 + ... + 30985861.

Almost surely, 2^195903612100 is an apocalyptic number.

195903612100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195903612100 is the 442610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195903612100

195903612100 is an abundant number, since it is smaller than the sum of its proper divisors (298691298857).

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

195903612100 is an frugal number, since it uses more digits than its factorization.

195903612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12674 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 195903612100 in words is "one hundred ninety-five billion, nine hundred three million, six hundred twelve thousand, one hundred".