9920100 has 72 divisors (see below), whose sum is σ = 29407840. Its totient is φ = 2580480.

The previous prime is 9920089. The next prime is 9920111. The reversal of 9920100 is 10299.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9920089) and next prime (9920111).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12516 + ... + 13284.

Almost surely, 2^9920100 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 9920100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703920).

9920100 is an abundant number, since it is smaller than the sum of its proper divisors (19487740).

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

9920100 is a wasteful number, since it uses less digits than its factorization.

9920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 9920100 is about 3149.6190245806. The cubic root of 9920100 is about 214.8681361961.

Adding to 9920100 its reverse (10299), we get a palindrome (9930399).

The spelling of 9920100 in words is "nine million, nine hundred twenty thousand, one hundred".