10821150 has 72 divisors (see below), whose sum is σ = 29451240. Its totient is φ = 2848320.

The previous prime is 10821143. The next prime is 10821179. The reversal of 10821150 is 5112801.

10821150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62464 + ... + 62636.

It is an arithmetic number, because the mean of its divisors is an integer number (409045).

Almost surely, 2^10821150 is an apocalyptic number.

10821150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10821150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725620).

10821150 is an abundant number, since it is smaller than the sum of its proper divisors (18630090).

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

10821150 is a wasteful number, since it uses less digits than its factorization.

10821150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10821150 is about 3289.5516411815. The cubic root of 10821150 is about 221.1860870644.

Adding to 10821150 its reverse (5112801), we get a palindrome (15933951).

The spelling of 10821150 in words is "ten million, eight hundred twenty-one thousand, one hundred fifty".