10305280 has 72 divisors (see below), whose sum is σ = 25239312. Its totient is φ = 4030464.

The previous prime is 10305271. The next prime is 10305283. The reversal of 10305280 is 8250301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305283) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 106192 + ... + 106288.

It is an arithmetic number, because the mean of its divisors is an integer number (350546).

Almost surely, 2^10305280 is an apocalyptic number.

10305280 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 10305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619656).

10305280 is an abundant number, since it is smaller than the sum of its proper divisors (14934032).

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

10305280 is an frugal number, since it uses more digits than its factorization.

10305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10305280 is about 3210.1837953613. The cubic root of 10305280 is about 217.6138831973.

Adding to 10305280 its reverse (8250301), we get a palindrome (18555581).

It can be divided in two parts, 10305 and 280, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 10305280 in words is "ten million, three hundred five thousand, two hundred eighty".