10005280 has 24 divisors (see below), whose sum is σ = 23637852. Its totient is φ = 4002048.

The previous prime is 10005277. The next prime is 10005293. The reversal of 10005280 is 8250001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 44944 = 3156^2 + 212^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31107 + ... + 31426.

Almost surely, 2^10005280 is an apocalyptic number.

10005280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005280 is an abundant number, since it is smaller than the sum of its proper divisors (13632572).

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

10005280 is an equidigital number, since it uses as much as digits as its factorization.

10005280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62548 (or 62540 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10005280 is about 3163.1123913007. The cubic root of 10005280 is about 215.4813803821.

Adding to 10005280 its reverse (8250001), we get a palindrome (18255281).

The spelling of 10005280 in words is "ten million, five thousand, two hundred eighty".