11005152 has 96 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 3429888.

The previous prime is 11005151. The next prime is 11005153. The reversal of 11005152 is 25150011.

It is an interprime number because it is at equal distance from previous prime (11005151) and next prime (11005153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11005152² = 242226741086208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 164223 + ... + 164289.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^11005152 is an apocalyptic number.

11005152 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 11005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

11005152 is an abundant number, since it is smaller than the sum of its proper divisors (19839648).

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

11005152 is a wasteful number, since it uses less digits than its factorization.

11005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 11005152 is about 3317.4013926566. The cubic root of 11005152 is about 222.4327246844.

Adding to 11005152 its reverse (25150011), we get a palindrome (36155163).

The spelling of 11005152 in words is "eleven million, five thousand, one hundred fifty-two".