10605224 has 64 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 4262400.

The previous prime is 10605209. The next prime is 10605227. The reversal of 10605224 is 42250601.

It is a happy number.

It is a super-3 number, since 3×10605224³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10605196 and 10605205.

It is not an unprimeable number, because it can be changed into a prime (10605227) 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, 71102 + ... + 71250.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^10605224 is an apocalyptic number.

10605224 is a gapful number since it is divisible by the number (14) 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 10605224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

10605224 is an abundant number, since it is smaller than the sum of its proper divisors (13586776).

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

10605224 is a wasteful number, since it uses less digits than its factorization.

10605224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10605224 is about 3256.5662898212. The cubic root of 10605224 is about 219.7050040686.

Adding to 10605224 its reverse (42250601), we get a palindrome (52855825).

The spelling of 10605224 in words is "ten million, six hundred five thousand, two hundred twenty-four".