10680375 has 32 divisors (see below), whose sum is σ = 18720000. Its totient is φ = 5392800.

The previous prime is 10680359. The next prime is 10680391. The reversal of 10680375 is 57308601.

10680375 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10680359) and next prime (10680391).

It is not a de Polignac number, because 10680375 - 2⁴ = 10680359 is a prime.

It is a super-2 number, since 2×10680375² = 228140820281250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6376 + ... + 7874.

It is an arithmetic number, because the mean of its divisors is an integer number (585000).

Almost surely, 2^10680375 is an apocalyptic number.

10680375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10680375 is a deficient number, since it is larger than the sum of its proper divisors (8039625).

10680375 is a wasteful number, since it uses less digits than its factorization.

10680375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10680375 is about 3268.0843012383. The cubic root of 10680375 is about 220.2227427238. Note that the first 3 decimals are identical.

Adding to 10680375 its reverse (57308601), we get a palindrome (67988976).

The spelling of 10680375 in words is "ten million, six hundred eighty thousand, three hundred seventy-five".