9908100 has 108 divisors (see below), whose sum is σ = 31651620. Its totient is φ = 2592000.

The previous prime is 9908099. The next prime is 9908123. The reversal of 9908100 is 18099.

9908100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 617796 + 9290304 = 786^2 + 3048^2 .

It is a super-2 number, since 2×9908100² = 196340891220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90846 + ... + 90954.

Almost surely, 2^9908100 is an apocalyptic number.

9908100 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 9908100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825810).

9908100 is an abundant number, since it is smaller than the sum of its proper divisors (21743520).

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

9908100 is a wasteful number, since it uses less digits than its factorization.

9908100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 9908100 is about 3147.7134558279. The cubic root of 9908100 is about 214.7814617335.

The spelling of 9908100 in words is "nine million, nine hundred eight thousand, one hundred".