10814500 has 48 divisors (see below), whose sum is σ = 24216192. Its totient is φ = 4216800.

The previous prime is 10814497. The next prime is 10814509. The reversal of 10814500 is 541801.

It is not an unprimeable number, because it can be changed into a prime (10814509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21249 + ... + 21751.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 2^10814500 is an apocalyptic number.

10814500 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 10814500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108096).

10814500 is an abundant number, since it is smaller than the sum of its proper divisors (13401692).

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

10814500 is a wasteful number, since it uses less digits than its factorization.

10814500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10814500 is about 3288.5407097982. The cubic root of 10814500 is about 221.1407687483.

The spelling of 10814500 in words is "ten million, eight hundred fourteen thousand, five hundred".