10981152 has 144 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 2889216.

The previous prime is 10981141. The next prime is 10981207. The reversal of 10981152 is 25118901.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25999 + ... + 26417.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 2^10981152 is an apocalyptic number.

10981152 is a gapful number since it is divisible by the number (12) 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 10981152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

10981152 is an abundant number, since it is smaller than the sum of its proper divisors (27544608).

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

10981152 is a wasteful number, since it uses less digits than its factorization.

10981152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 10981152 is about 3313.7821292294. The cubic root of 10981152 is about 222.2709134786.

The spelling of 10981152 in words is "ten million, nine hundred eighty-one thousand, one hundred fifty-two".