10882500 has 60 divisors (see below), whose sum is σ = 31752336. Its totient is φ = 2900000.

The previous prime is 10882489. The next prime is 10882517. The reversal of 10882500 is 528801.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6775 + ... + 8225.

Almost surely, 2^10882500 is an apocalyptic number.

10882500 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 10882500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876168).

10882500 is an abundant number, since it is smaller than the sum of its proper divisors (20869836).

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

10882500 is a wasteful number, since it uses less digits than its factorization.

10882500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 10882500 is about 3298.8634406413. The cubic root of 10882500 is about 221.6033009626.

The spelling of 10882500 in words is "ten million, eight hundred eighty-two thousand, five hundred".