10580500 has 48 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 3626400.

The previous prime is 10580489. The next prime is 10580503. The reversal of 10580500 is 508501.

It is a super-2 number, since 2×10580500² = 223893960500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1989 + ... + 5011.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 2^10580500 is an apocalyptic number.

10580500 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 10580500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

10580500 is an abundant number, since it is smaller than the sum of its proper divisors (15837164).

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

10580500 is a wasteful number, since it uses less digits than its factorization.

10580500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 10580500 is about 3252.7680519828. The cubic root of 10580500 is about 219.5341381758.

It can be divided in two parts, 10580 and 500, that multiplied together give a square (5290000 = 2300²).

The spelling of 10580500 in words is "ten million, five hundred eighty thousand, five hundred".