10680345 has 24 divisors (see below), whose sum is σ = 19937736. Its totient is φ = 5257728.

The previous prime is 10680311. The next prime is 10680353. The reversal of 10680345 is 54308601.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 10673289 = 84^2 + 3267^2 .

It is not a de Polignac number, because 10680345 - 2⁶ = 10680281 is a prime.

It is a super-2 number, since 2×10680345² = 228139538638050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8544 + ... + 9713.

It is an arithmetic number, because the mean of its divisors is an integer number (830739).

Almost surely, 2^10680345 is an apocalyptic number.

10680345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10680345 is a deficient number, since it is larger than the sum of its proper divisors (9257391).

10680345 is a wasteful number, since it uses less digits than its factorization.

10680345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18281 (or 18278 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10680345 is about 3268.0797113902. The cubic root of 10680345 is about 220.2225365298. Note that the first 3 decimals are identical.

Adding to 10680345 its reverse (54308601), we get a palindrome (64988946).

It can be divided in two parts, 10680 and 345, that added together give a square (11025 = 105²).

The spelling of 10680345 in words is "ten million, six hundred eighty thousand, three hundred forty-five".