9242100 has 180 divisors, whose sum is σ = 34449184. Its totient is φ = 2099520.

The previous prime is 9242081. The next prime is 9242111. The reversal of 9242100 is 12429.

9242100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56619 + ... + 56781.

Almost surely, 2^9242100 is an apocalyptic number.

9242100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224592).

9242100 is an abundant number, since it is smaller than the sum of its proper divisors (25207084).

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

9242100 is a wasteful number, since it uses less digits than its factorization.

9242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9242100 is about 3040.0822357298. The cubic root of 9242100 is about 209.8570455651.

Adding to 9242100 its reverse (12429), we get a palindrome (9254529).

The spelling of 9242100 in words is "nine million, two hundred forty-two thousand, one hundred".