10605280 has 96 divisors (see below), whose sum is σ = 30373056. Its totient is φ = 3416064.

The previous prime is 10605253. The next prime is 10605281. The reversal of 10605280 is 8250601.

It is a happy number.

It is a super-2 number, since 2×10605280² = 224943927756800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18762 + ... + 19318.

It is an arithmetic number, because the mean of its divisors is an integer number (316386).

Almost surely, 2^10605280 is an apocalyptic number.

10605280 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 10605280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186528).

10605280 is an abundant number, since it is smaller than the sum of its proper divisors (19767776).

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

10605280 is a wasteful number, since it uses less digits than its factorization.

10605280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10605280 is about 3256.5748878231. The cubic root of 10605280 is about 219.7053907792.

Adding to 10605280 its reverse (8250601), we get a palindrome (18855881).

The spelling of 10605280 in words is "ten million, six hundred five thousand, two hundred eighty".