10091009000 has 128 divisors (see below), whose sum is σ = 24135040800. Its totient is φ = 3948134400.

The previous prime is 10091008999. The next prime is 10091009021. The reversal of 10091009000 is 90019001.

10091009000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 542983204 + 9548025796 = 23302^2 + 97714^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10000496 + ... + 10001504.

Almost surely, 2^10091009000 is an apocalyptic number.

10091009000 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 10091009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067520400).

10091009000 is an abundant number, since it is smaller than the sum of its proper divisors (14044031800).

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

10091009000 is a wasteful number, since it uses less digits than its factorization.

10091009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The spelling of 10091009000 in words is "ten billion, ninety-one million, nine thousand".