10681800 has 96 divisors (see below), whose sum is σ = 34893600. Its totient is φ = 2695680.

The previous prime is 10681793. The next prime is 10681817. The reversal of 10681800 is 818601.

It is a super-2 number, since 2×10681800² = 228201702480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 10932 + ... + 11868.

It is an arithmetic number, because the mean of its divisors is an integer number (363475).

Almost surely, 2^10681800 is an apocalyptic number.

10681800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446800).

10681800 is an abundant number, since it is smaller than the sum of its proper divisors (24211800).

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

10681800 is a wasteful number, since it uses less digits than its factorization.

10681800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 10681800 is about 3268.3023115985. The cubic root of 10681800 is about 220.2325364952.

The spelling of 10681800 in words is "ten million, six hundred eighty-one thousand, eight hundred".