10059280 has 160 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 2956800.

The previous prime is 10059253. The next prime is 10059281. The reversal of 10059280 is 8295001.

It is a super-2 number, since 2×10059280² = 202378228236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059281) 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 31 ways as a sum of consecutive naturals, for example, 141645 + ... + 141715.

Almost surely, 2^10059280 is an apocalyptic number.

10059280 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 10059280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

10059280 is an abundant number, since it is smaller than the sum of its proper divisors (20795888).

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

10059280 is a wasteful number, since it uses less digits than its factorization.

10059280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 10059280 is about 3171.6368014008. The cubic root of 10059280 is about 215.8683468420.

The spelling of 10059280 in words is "ten million, fifty-nine thousand, two hundred eighty".