10506315 has 16 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 5561952.

The previous prime is 10506313. The next prime is 10506317. The reversal of 10506315 is 51360501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10506313) and next prime (10506317).

It is not a de Polignac number, because 10506315 - 2¹ = 10506313 is a prime.

It is a super-2 number, since 2×10506315² = 220765309758450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506291 and 10506300.

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 15 ways as a sum of consecutive naturals, for example, 435 + ... + 4604.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^10506315 is an apocalyptic number.

10506315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10506315 is a deficient number, since it is larger than the sum of its proper divisors (6428085).

10506315 is a wasteful number, since it uses less digits than its factorization.

10506315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 10506315 is about 3241.3446283911. The cubic root of 10506315 is about 219.0198476622.

Adding to 10506315 its reverse (51360501), we get a palindrome (61866816).

The spelling of 10506315 in words is "ten million, five hundred six thousand, three hundred fifteen".