10506312 has 48 divisors (see below), whose sum is σ = 28604940. Its totient is φ = 3483648.

The previous prime is 10506311. The next prime is 10506313. The reversal of 10506312 is 21360501.

It is an interprime number because it is at equal distance from previous prime (10506311) and next prime (10506313).

It can be written as a sum of positive squares in 2 ways, for example, as 9326916 + 1179396 = 3054^2 + 1086^2 .

It is a super-2 number, since 2×10506312² = 220765183682688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10506311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24048 + ... + 24480.

Almost surely, 2^10506312 is an apocalyptic number.

10506312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10506312 is an abundant number, since it is smaller than the sum of its proper divisors (18098628).

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

10506312 is a wasteful number, since it uses less digits than its factorization.

10506312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10506312 is about 3241.3441656202. The cubic root of 10506312 is about 219.0198268157.

Adding to 10506312 its reverse (21360501), we get a palindrome (31866813).

The spelling of 10506312 in words is "ten million, five hundred six thousand, three hundred twelve".