10681000 has 64 divisors (see below), whose sum is σ = 27293760. Its totient is φ = 3880000.

The previous prime is 10680977. The next prime is 10681009. The reversal of 10681000 is 18601.

10681000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10681000² = 228167522000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10681009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10515 + ... + 11485.

It is an arithmetic number, because the mean of its divisors is an integer number (426465).

Almost surely, 2^10681000 is an apocalyptic number.

10681000 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 10681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646880).

10681000 is an abundant number, since it is smaller than the sum of its proper divisors (16612760).

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

10681000 is a wasteful number, since it uses less digits than its factorization.

10681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 10681000 is about 3268.1799216077. The cubic root of 10681000 is about 220.2270383448.

Adding to 10681000 its reverse (18601), we get a palindrome (10699601).

The spelling of 10681000 in words is "ten million, six hundred eighty-one thousand".