11051136 has 96 divisors (see below), whose sum is σ = 32579820. Its totient is φ = 3594240.

The previous prime is 11051119. The next prime is 11051137. The reversal of 11051136 is 63115011.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 553536 = 3240^2 + 744^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11051137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60966 + ... + 61146.

Almost surely, 2^11051136 is an apocalyptic number.

11051136 is a gapful number since it is divisible by the number (16) 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 11051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289910).

11051136 is an abundant number, since it is smaller than the sum of its proper divisors (21528684).

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

11051136 is a wasteful number, since it uses less digits than its factorization.

11051136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11051136 is about 3324.3248938694. The cubic root of 11051136 is about 222.7420989764.

Adding to 11051136 its reverse (63115011), we get a palindrome (74166147).

The spelling of 11051136 in words is "eleven million, fifty-one thousand, one hundred thirty-six".