10505300 has 36 divisors (see below), whose sum is σ = 24553116. Its totient is φ = 3878400.

The previous prime is 10505291. The next prime is 10505317. The reversal of 10505300 is 350501.

It can be written as a sum of positive squares in 6 ways, for example, as 1731856 + 8773444 = 1316^2 + 2962^2 .

It is a super-2 number, since 2×10505300² = 220722656180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2741 + ... + 5340.

It is an arithmetic number, because the mean of its divisors is an integer number (682031).

Almost surely, 2^10505300 is an apocalyptic number.

10505300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505300 is an abundant number, since it is smaller than the sum of its proper divisors (14047816).

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

10505300 is a wasteful number, since it uses less digits than its factorization.

10505300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8101 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 10505300 is about 3241.1880537852. The cubic root of 10505300 is about 219.0127943708.

Adding to 10505300 its reverse (350501), we get a palindrome (10855801).

The spelling of 10505300 in words is "ten million, five hundred five thousand, three hundred".