9763416100 has 81 divisors (see below), whose sum is σ = 21806444793. Its totient is φ = 3794304000.

The previous prime is 9763416083. The next prime is 9763416121. The reversal of 9763416100 is 16143679.

The square root of 9763416100 is 98810.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8655325156 + 1108090944 = 93034^2 + 33288^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9763416100.

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, 40511980 + ... + 40512220.

Almost surely, 2^9763416100 is an apocalyptic number.

9763416100 is the 98810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9763416100

9763416100 is an abundant number, since it is smaller than the sum of its proper divisors (12043028693).

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

9763416100 is a wasteful number, since it uses less digits than its factorization.

9763416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The cubic root of 9763416100 is about 2137.3087621164.

Adding to 9763416100 its reverse (16143679), we get a palindrome (9779559779).

The spelling of 9763416100 in words is "nine billion, seven hundred sixty-three million, four hundred sixteen thousand, one hundred".