10680210 has 24 divisors (see below), whose sum is σ = 27768780. Its totient is φ = 2848032.

The previous prime is 10680209. The next prime is 10680221. The reversal of 10680210 is 1208601.

It can be written as a sum of positive squares in 2 ways, for example, as 8767521 + 1912689 = 2961^2 + 1383^2 .

It is a super-2 number, since 2×10680210² = 228133771288200, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 59245 + ... + 59424.

Almost surely, 2^10680210 is an apocalyptic number.

10680210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10680210 is an abundant number, since it is smaller than the sum of its proper divisors (17088570).

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

10680210 is a wasteful number, since it uses less digits than its factorization.

10680210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118682 (or 118679 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10680210 is about 3268.0590569939. The cubic root of 10680210 is about 220.2216086519.

Adding to 10680210 its reverse (1208601), we get a palindrome (11888811).

The spelling of 10680210 in words is "ten million, six hundred eighty thousand, two hundred ten".