10580050 has 48 divisors (see below), whose sum is σ = 21764232. Its totient is φ = 3801600.

The previous prime is 10580047. The next prime is 10580071. The reversal of 10580050 is 5008501.

It can be written as a sum of positive squares in 12 ways, for example, as 205209 + 10374841 = 453^2 + 3221^2 .

It is a super-2 number, since 2×10580050² = 223874916005000, 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, 26452 + ... + 26848.

Almost surely, 2^10580050 is an apocalyptic number.

10580050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10580050 is an abundant number, since it is smaller than the sum of its proper divisors (11184182).

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

10580050 is a wasteful number, since it uses less digits than its factorization.

10580050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 458 counting only the distinct ones).

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

The square root of 10580050 is about 3252.6988793923. The cubic root of 10580050 is about 219.5310257910.

Adding to 10580050 its reverse (5008501), we get a palindrome (15588551).

It can be divided in two parts, 105800 and 50, that multiplied together give a square (5290000 = 2300²).

The spelling of 10580050 in words is "ten million, five hundred eighty thousand, fifty".