9743664100 has 27 divisors (see below), whose sum is σ = 21145893321. Its totient is φ = 3897070800.

The previous prime is 9743664079. The next prime is 9743664137. The reversal of 9743664100 is 14663479.

The square root of 9743664100 is 98710.

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

It can be written as a sum of positive squares in only one way, i.e., 3507719076 + 6235945024 = 59226^2 + 78968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 982165 + ... + 992035.

Almost surely, 2^9743664100 is an apocalyptic number.

9743664100 is the 98710-th square number.

It is an amenable number.

9743664100 is an abundant number, since it is smaller than the sum of its proper divisors (11402229221).

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

9743664100 is an frugal number, since it uses more digits than its factorization.

9743664100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19756 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The cubic root of 9743664100 is about 2135.8664860765.

The spelling of 9743664100 in words is "nine billion, seven hundred forty-three million, six hundred sixty-four thousand, one hundred".