9004112100 has 81 divisors (see below), whose sum is σ = 28231814793. Its totient is φ = 2400337440.

The previous prime is 9004112083. The next prime is 9004112147. The reversal of 9004112100 is 12114009.

The square root of 9004112100 is 94890.

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

9004112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3241480356 + 5762631744 = 56934^2 + 75912^2 .

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

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2845119 + ... + 2848281.

Almost surely, 2^9004112100 is an apocalyptic number.

9004112100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9004112100 is the 94890-th square number.

It is an amenable number.

9004112100 is an abundant number, since it is smaller than the sum of its proper divisors (19227702693).

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

9004112100 is a wasteful number, since it uses less digits than its factorization.

9004112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 9004112100 is about 2080.4005715823.

Adding to 9004112100 its reverse (12114009), we get a palindrome (9016226109).

It can be divided in two parts, 9004 and 112100, that added together give a square (121104 = 348²).

The spelling of 9004112100 in words is "nine billion, four million, one hundred twelve thousand, one hundred".