9910202500 has 135 divisors (see below), whose sum is σ = 23953217673. Its totient is φ = 3583800000.

The previous prime is 9910202461. The next prime is 9910202503. The reversal of 9910202500 is 52020199.

The square root of 9910202500 is 99550.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9597337156 + 312865344 = 97966^2 + 17688^2 .

It is a super-2 number, since 2×9910202500² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9910202503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 54752410 + ... + 54752590.

Almost surely, 2^9910202500 is an apocalyptic number.

9910202500 is the 99550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9910202500

9910202500 is an abundant number, since it is smaller than the sum of its proper divisors (14043015173).

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

9910202500 is a wasteful number, since it uses less digits than its factorization.

9910202500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The cubic root of 9910202500 is about 2147.9665287633.

Adding to 9910202500 its reverse (52020199), we get a palindrome (9962222699).

The spelling of 9910202500 in words is "nine billion, nine hundred ten million, two hundred two thousand, five hundred".