8904358100 has 72 divisors (see below), whose sum is σ = 21276325728. Its totient is φ = 3207644800.

The previous prime is 8904358091. The next prime is 8904358103. The reversal of 8904358100 is 18534098.

8904358100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8904358100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8904358103) 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 23 ways as a sum of consecutive naturals, for example, 79874 + ... + 155526.

It is an arithmetic number, because the mean of its divisors is an integer number (295504524).

Almost surely, 2^8904358100 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 8904358100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10638162864).

8904358100 is an abundant number, since it is smaller than the sum of its proper divisors (12371967628).

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

8904358100 is a wasteful number, since it uses less digits than its factorization.

8904358100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75785 (or 75778 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 8904358100 is about 94362.9063774532. The cubic root of 8904358100 is about 2072.6893017879.

The spelling of 8904358100 in words is "eight billion, nine hundred four million, three hundred fifty-eight thousand, one hundred".