10506320 has 40 divisors (see below), whose sum is σ = 26650080. Its totient is φ = 3820160.

The previous prime is 10506317. The next prime is 10506343. The reversal of 10506320 is 2360501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10506320² = 220765519884800, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5090 + ... + 6849.

It is an arithmetic number, because the mean of its divisors is an integer number (666252).

Almost surely, 2^10506320 is an apocalyptic number.

10506320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506320 is an abundant number, since it is smaller than the sum of its proper divisors (16143760).

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

10506320 is a wasteful number, since it uses less digits than its factorization.

10506320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 10506320 is about 3241.3453996759. The cubic root of 10506320 is about 219.0198824064.

Adding to 10506320 its reverse (2360501), we get a palindrome (12866821).

The spelling of 10506320 in words is "ten million, five hundred six thousand, three hundred twenty".