10132580 has 12 divisors (see below), whose sum is σ = 21278460. Its totient is φ = 4053024.

The previous prime is 10132547. The next prime is 10132607. The reversal of 10132580 is 8523101.

It can be written as a sum of positive squares in 2 ways, for example, as 6885376 + 3247204 = 2624^2 + 1802^2 .

It is a super-3 number, since 3×10132580³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 506629 = 10132580 / (1 + 0 + 1 + 3 + 2 + 5 + 8 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253295 + ... + 253334.

It is an arithmetic number, because the mean of its divisors is an integer number (1773205).

Almost surely, 2^10132580 is an apocalyptic number.

10132580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132580 is an abundant number, since it is smaller than the sum of its proper divisors (11145880).

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

10132580 is a wasteful number, since it uses less digits than its factorization.

10132580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506638 (or 506636 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10132580 is about 3183.1713745886. The cubic root of 10132580 is about 216.3914085079.

Adding to 10132580 its reverse (8523101), we get a palindrome (18655681).

The spelling of 10132580 in words is "ten million, one hundred thirty-two thousand, five hundred eighty".