10505484 has 96 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 3084480.

The previous prime is 10505483. The next prime is 10505491. The reversal of 10505484 is 48450501.

It is a super-2 number, since 2×10505484² = 220730388148512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10505483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43837 + ... + 44075.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 2^10505484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

10505484 is an abundant number, since it is smaller than the sum of its proper divisors (20137716).

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

10505484 is a wasteful number, since it uses less digits than its factorization.

10505484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 10505484 is about 3241.2164383145. The cubic root of 10505484 is about 219.0140730307.

Adding to 10505484 its reverse (48450501), we get a palindrome (58955985).

The spelling of 10505484 in words is "ten million, five hundred five thousand, four hundred eighty-four".