10509000 has 128 divisors (see below), whose sum is σ = 34145280. Its totient is φ = 2688000.

The previous prime is 10508989. The next prime is 10509013. The reversal of 10509000 is 90501.

It is a super-2 number, since 2×10509000² = 220878162000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92944 + ... + 93056.

It is an arithmetic number, because the mean of its divisors is an integer number (266760).

Almost surely, 2^10509000 is an apocalyptic number.

10509000 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 10509000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072640).

10509000 is an abundant number, since it is smaller than the sum of its proper divisors (23636280).

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

10509000 is a wasteful number, since it uses less digits than its factorization.

10509000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 10509000 is about 3241.7587818960. The cubic root of 10509000 is about 219.0385036865.

Adding to 10509000 its reverse (90501), we get a palindrome (10599501).

The spelling of 10509000 in words is "ten million, five hundred nine thousand".