9002106000 has 240 divisors, whose sum is σ = 31553449200. Its totient is φ = 2392012800.

The previous prime is 9002105971. The next prime is 9002106019. The reversal of 9002106000 is 6012009.

It can be written as a sum of positive squares in 8 ways, for example, as 806787216 + 8195318784 = 28404^2 + 90528^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6281284 + ... + 6282716.

It is an arithmetic number, because the mean of its divisors is an integer number (131472705).

Almost surely, 2^9002106000 is an apocalyptic number.

9002106000 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 9002106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776724600).

9002106000 is an abundant number, since it is smaller than the sum of its proper divisors (22551343200).

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

9002106000 is a wasteful number, since it uses less digits than its factorization.

9002106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 9002106000 is about 94879.4287503882. The cubic root of 9002106000 is about 2080.2460569365.

Adding to 9002106000 its reverse (6012009), we get a palindrome (9008118009).

The spelling of 9002106000 in words is "nine billion, two million, one hundred six thousand".