10209516 has 48 divisors (see below), whose sum is σ = 25256448. Its totient is φ = 3203200.

The previous prime is 10209497. The next prime is 10209559. The reversal of 10209516 is 61590201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19336 + ... + 19856.

It is an arithmetic number, because the mean of its divisors is an integer number (526176).

Almost surely, 2^10209516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10209516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628224).

10209516 is an abundant number, since it is smaller than the sum of its proper divisors (15046932).

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

10209516 is a wasteful number, since it uses less digits than its factorization.

10209516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 10209516 is about 3195.2333248137. The cubic root of 10209516 is about 216.9377099700.

Adding to 10209516 its reverse (61590201), we get a palindrome (71799717).

The spelling of 10209516 in words is "ten million, two hundred nine thousand, five hundred sixteen".