10680971 has 6 divisors (see below), whose sum is σ = 12424860. Its totient is φ = 9155076.

The previous prime is 10680959. The next prime is 10680973. The reversal of 10680971 is 17908601.

It is not a de Polignac number, because 10680971 - 2¹⁸ = 10418827 is a prime.

It is a super-2 number, since 2×10680971² = 228166283005682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10680973) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 108941 + ... + 109038.

It is an arithmetic number, because the mean of its divisors is an integer number (2070810).

Almost surely, 2^10680971 is an apocalyptic number.

10680971 is a deficient number, since it is larger than the sum of its proper divisors (1743889).

10680971 is an equidigital number, since it uses as much as digits as its factorization.

10680971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217993 (or 217986 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 10680971 is about 3268.1754848845. The cubic root of 10680971 is about 220.2268390317.

The spelling of 10680971 in words is "ten million, six hundred eighty thousand, nine hundred seventy-one".