990100000 has 72 divisors (see below), whose sum is σ = 2436664356. Its totient is φ = 396000000.

The previous prime is 990099977. The next prime is 990100003. The reversal of 990100000 is 1099.

It can be written as a sum of positive squares in 6 ways, for example, as 3888784 + 986211216 = 1972^2 + 31404^2 .

It is not an unprimeable number, because it can be changed into a prime (990100003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 95050 + ... + 104950.

Almost surely, 2^990100000 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 990100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218332178).

990100000 is an abundant number, since it is smaller than the sum of its proper divisors (1446564356).

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

990100000 is an frugal number, since it uses more digits than its factorization.

990100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 990100000 is about 31465.8545092931. The cubic root of 990100000 is about 996.6890497068.

Adding to 990100000 its reverse (1099), we get a palindrome (990101099).

The spelling of 990100000 in words is "nine hundred ninety million, one hundred thousand".