10581150 has 48 divisors (see below), whose sum is σ = 27391104. Its totient is φ = 2698080.

The previous prime is 10581133. The next prime is 10581163. The reversal of 10581150 is 5118501.

10581150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10581150² = 223921470645000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917 + ... + 4983.

It is an arithmetic number, because the mean of its divisors is an integer number (570648).

Almost surely, 2^10581150 is an apocalyptic number.

10581150 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 10581150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13695552).

10581150 is an abundant number, since it is smaller than the sum of its proper divisors (16809954).

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

10581150 is a wasteful number, since it uses less digits than its factorization.

10581150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 10581150 is about 3252.8679653500. The cubic root of 10581150 is about 219.5386336870.

Adding to 10581150 its reverse (5118501), we get a palindrome (15699651).

It can be divided in two parts, 10581 and 150, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10581150 in words is "ten million, five hundred eighty-one thousand, one hundred fifty".