9992100 has 72 divisors (see below), whose sum is σ = 30449440. Its totient is φ = 2522880.

The previous prime is 9992083. The next prime is 9992113. The reversal of 9992100 is 12999.

9992100 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 (30).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4824 + ... + 6576.

Almost surely, 2^9992100 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 9992100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15224720).

9992100 is an abundant number, since it is smaller than the sum of its proper divisors (20457340).

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

9992100 is a wasteful number, since it uses less digits than its factorization.

9992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 9992100 is about 3161.0283136979. The cubic root of 9992100 is about 215.3867206100.

The spelling of 9992100 in words is "nine million, nine hundred ninety-two thousand, one hundred".