9642950196100 has 81 divisors (see below), whose sum is σ = 22659599222127. Its totient is φ = 3560324863680.

The previous prime is 9642950196079. The next prime is 9642950196107. The reversal of 9642950196100 is 16910592469.

It is a happy number.

The square root of 9642950196100 is 3105310.

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

9642950196100 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 4 ways, for example, as 2485484677764 + 7157465518336 = 1576542^2 + 2675344^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9642950196107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 403678357 + ... + 403702243.

Almost surely, 2^{9642950196100} is an apocalyptic number.

9642950196100 is the 3105310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9642950196100

9642950196100 is an abundant number, since it is smaller than the sum of its proper divisors (13016649026027).

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

9642950196100 is an equidigital number, since it uses as much as digits as its factorization.

9642950196100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47814 (or 23907 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 9642950196100 in words is "nine trillion, six hundred forty-two billion, nine hundred fifty million, one hundred ninety-six thousand, one hundred".