990089100 has 648 divisors, whose sum is σ = 4268195568. Its totient is φ = 188697600.

The previous prime is 990089099. The next prime is 990089143. The reversal of 990089100 is 1980099.

990089100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

990089100 is a modest number, since divided by 89100 gives 9900 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6306222 + ... + 6306378.

Almost surely, 2^990089100 is an apocalyptic number.

990089100 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 990089100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134097784).

990089100 is an abundant number, since it is smaller than the sum of its proper divisors (3278106468).

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

990089100 is a wasteful number, since it uses less digits than its factorization.

990089100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

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

The square root of 990089100 is about 31465.6813051934. The cubic root of 990089100 is about 996.6853921805.

It can be divided in two parts, 9900 and 89100, that multiplied together give a square (882090000 = 29700²).

The spelling of 990089100 in words is "nine hundred ninety million, eighty-nine thousand, one hundred".