10681300 has 36 divisors (see below), whose sum is σ = 26491360. Its totient is φ = 3661920.

The previous prime is 10681289. The next prime is 10681303. The reversal of 10681300 is 318601.

It is a super-2 number, since 2×10681300² = 228180339380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6930 + ... + 8329.

Almost surely, 2^10681300 is an apocalyptic number.

10681300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10681300 is an abundant number, since it is smaller than the sum of its proper divisors (15810060).

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

10681300 is a wasteful number, since it uses less digits than its factorization.

10681300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10681300 is about 3268.2258183914. The cubic root of 10681300 is about 220.2291001834.

Adding to 10681300 its reverse (318601), we get a palindrome (10999901).

It can be divided in two parts, 106 and 81300, that added together give a triangular number (81406 = T₄₀₃).

The spelling of 10681300 in words is "ten million, six hundred eighty-one thousand, three hundred".