10681400 has 24 divisors (see below), whose sum is σ = 24834720. Its totient is φ = 4272480.

The previous prime is 10681399. The next prime is 10681403. The reversal of 10681400 is 418601.

10681400 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 2×10681400² = 228184611920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681403) 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, 26504 + ... + 26903.

It is an arithmetic number, because the mean of its divisors is an integer number (1034780).

Almost surely, 2^10681400 is an apocalyptic number.

10681400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10681400 is an abundant number, since it is smaller than the sum of its proper divisors (14153320).

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

10681400 is a wasteful number, since it uses less digits than its factorization.

10681400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53423 (or 53414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10681400 is about 3268.2411171760. The cubic root of 10681400 is about 220.2297874543.

The spelling of 10681400 in words is "ten million, six hundred eighty-one thousand, four hundred".