990100089 has 48 divisors (see below), whose sum is σ = 1669387200. Its totient is φ = 559094400.

The previous prime is 990100039. The next prime is 990100091. The reversal of 990100089 is 980001099.

It is not a de Polignac number, because 990100089 - 2¹⁵ = 990067321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (990100039) 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 47 ways as a sum of consecutive naturals, for example, 110427 + ... + 119055.

It is an arithmetic number, because the mean of its divisors is an integer number (34778900).

Almost surely, 2^990100089 is an apocalyptic number.

990100089 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

990100089 is a deficient number, since it is larger than the sum of its proper divisors (679287111).

990100089 is a wasteful number, since it uses less digits than its factorization.

990100089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 990100089 is about 31465.8559235245. The cubic root of 990100089 is about 996.6890795709.

The spelling of 990100089 in words is "nine hundred ninety million, one hundred thousand, eighty-nine".