195885908100 has 81 divisors (see below), whose sum is σ = 614035117423. Its totient is φ = 52232701440.

The previous prime is 195885908087. The next prime is 195885908117. The reversal of 195885908100 is 1809588591.

The square root of 195885908100 is 442590.

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

195885908100 is a `hidden beast` number, since 1 + 9 + 588 + 59 + 0 + 8 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4441156164 + 191444751936 = 66642^2 + 437544^2 .

It is a super-2 number, since 2×195885908100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13270324 + ... + 13285076.

Almost surely, 2^195885908100 is an apocalyptic number.

195885908100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195885908100 is the 442590-th square number.

It is an amenable number.

195885908100 is an abundant number, since it is smaller than the sum of its proper divisors (418149209323).

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

195885908100 is an equidigital number, since it uses as much as digits as its factorization.

195885908100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29526 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 195885908100 in words is "one hundred ninety-five billion, eight hundred eighty-five million, nine hundred eight thousand, one hundred".