9249999900 has 288 divisors, whose sum is σ = 29195631360. Its totient is φ = 2253588480.

The previous prime is 9249999893. The next prime is 9249999901. The reversal of 9249999900 is 99999429.

9249999900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9249999901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20240472 + ... + 20240928.

It is an arithmetic number, because the mean of its divisors is an integer number (101373720).

Almost surely, 2^9249999900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9249999900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14597815680).

9249999900 is an abundant number, since it is smaller than the sum of its proper divisors (19945631460).

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

9249999900 is a wasteful number, since it uses less digits than its factorization.

9249999900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 60.

The square root of 9249999900 is about 96176.9197884815. The cubic root of 9249999900 is about 2099.1682193396.

The spelling of 9249999900 in words is "nine billion, two hundred forty-nine million, nine hundred ninety-nine thousand, nine hundred".