195964100 has 72 divisors (see below), whose sum is σ = 474032160. Its totient is φ = 69880320.

The previous prime is 195964091. The next prime is 195964123. The reversal of 195964100 is 1469591.

195964100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29267 + ... + 35333.

It is an arithmetic number, because the mean of its divisors is an integer number (6583780).

Almost surely, 2^195964100 is an apocalyptic number.

195964100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237016080).

195964100 is an abundant number, since it is smaller than the sum of its proper divisors (278068060).

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

195964100 is a wasteful number, since it uses less digits than its factorization.

195964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 195964100 is about 13998.7177984271. The cubic root of 195964100 is about 580.8431059854.

The spelling of 195964100 in words is "one hundred ninety-five million, nine hundred sixty-four thousand, one hundred".