10505320 has 64 divisors (see below), whose sum is σ = 28615680. Its totient is φ = 3388416.

The previous prime is 10505317. The next prime is 10505351. The reversal of 10505320 is 2350501.

10505320 = T₃₅₇ + T₃₅₈ + ... + T₄₇₆.

It is a super-2 number, since 2×10505320² = 220723496604800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505294 and 10505303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3657 + ... + 5863.

It is an arithmetic number, because the mean of its divisors is an integer number (447120).

Almost surely, 2^10505320 is an apocalyptic number.

10505320 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 10505320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307840).

10505320 is an abundant number, since it is smaller than the sum of its proper divisors (18110360).

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

10505320 is a wasteful number, since it uses less digits than its factorization.

10505320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 10505320 is about 3241.1911390722. The cubic root of 10505320 is about 219.0129333563.

Adding to 10505320 its reverse (2350501), we get a palindrome (12855821).

The spelling of 10505320 in words is "ten million, five hundred five thousand, three hundred twenty".