1099890000 has 450 divisors, whose sum is σ = 4269803538. Its totient is φ = 264000000.

The previous prime is 1099889983. The next prime is 1099890007. The reversal of 1099890000 is 989901.

It can be written as a sum of positive squares in 5 ways, for example, as 153958464 + 945931536 = 12408^2 + 30756^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099890007) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 10889950 + ... + 10890050.

Almost surely, 2^1099890000 is an apocalyptic number.

1099890000 is a gapful number since it is divisible by the number (10) 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 1099890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134901769).

1099890000 is an abundant number, since it is smaller than the sum of its proper divisors (3169913538).

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

1099890000 is a wasteful number, since it uses less digits than its factorization.

1099890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

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

The square root of 1099890000 is about 33164.5895496989. The cubic root of 1099890000 is about 1032.2457049721.

The spelling of 1099890000 in words is "one billion, ninety-nine million, eight hundred ninety thousand".