10680200 has 24 divisors (see below), whose sum is σ = 24831930. Its totient is φ = 4272000.

The previous prime is 10680181. The next prime is 10680203. The reversal of 10680200 is 208601.

10680200 = 448² + 449² + ... + 495².

10680200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6160324 + 4519876 = 2482^2 + 2126^2 .

It is a super-2 number, since 2×10680200² = 228133344080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10680203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26501 + ... + 26900.

Almost surely, 2^10680200 is an apocalyptic number.

10680200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10680200 is an abundant number, since it is smaller than the sum of its proper divisors (14151730).

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

10680200 is a wasteful number, since it uses less digits than its factorization.

10680200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53417 (or 53408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10680200 is about 3268.0575270335. The cubic root of 10680200 is about 220.2215399199.

Adding to 10680200 its reverse (208601), we get a palindrome (10888801).

The spelling of 10680200 in words is "ten million, six hundred eighty thousand, two hundred".