10981800 has 72 divisors (see below), whose sum is σ = 36886590. Its totient is φ = 2928000.

The previous prime is 10981793. The next prime is 10981801. The reversal of 10981800 is 818901.

It can be written as a sum of positive squares in 3 ways, for example, as 8749764 + 2232036 = 2958^2 + 1494^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10981801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1251 + ... + 4850.

Almost surely, 2^10981800 is an apocalyptic number.

10981800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10981800 is an abundant number, since it is smaller than the sum of its proper divisors (25904790).

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

10981800 is a wasteful number, since it uses less digits than its factorization.

10981800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10981800 is about 3313.8799012638. The cubic root of 10981800 is about 222.2752854764.

It can be divided in two parts, 10981 and 800, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 10981800 in words is "ten million, nine hundred eighty-one thousand, eight hundred".