10506306 has 48 divisors (see below), whose sum is σ = 22899744. Its totient is φ = 3211776.

The previous prime is 10506281. The next prime is 10506311. The reversal of 10506306 is 60360501.

It is a super-2 number, since 2×10506306² = 220764931531272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126541 + ... + 126623.

It is an arithmetic number, because the mean of its divisors is an integer number (477078).

Almost surely, 2^10506306 is an apocalyptic number.

10506306 is an abundant number, since it is smaller than the sum of its proper divisors (12393438).

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

10506306 is a wasteful number, since it uses less digits than its factorization.

10506306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 10506306 is about 3241.3432400781. The cubic root of 10506306 is about 219.0197851227.

Adding to 10506306 its reverse (60360501), we get a palindrome (70866807).

The spelling of 10506306 in words is "ten million, five hundred six thousand, three hundred six".