11051100 has 72 divisors (see below), whose sum is σ = 35535920. Its totient is φ = 2946240.

The previous prime is 11051093. The next prime is 11051107. The reversal of 11051100 is 115011.

It is an interprime number because it is at equal distance from previous prime (11051093) and next prime (11051107).

It is a super-2 number, since 2×11051100² = 244253622420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11051107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654 + ... + 4746.

Almost surely, 2^11051100 is an apocalyptic number.

11051100 is a gapful number since it is divisible by the number (10) 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 11051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767960).

11051100 is an abundant number, since it is smaller than the sum of its proper divisors (24484820).

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

11051100 is a wasteful number, since it uses less digits than its factorization.

11051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 11051100 is about 3324.3194792318. The cubic root of 11051100 is about 222.7418571092.

Adding to 11051100 its reverse (115011), we get a palindrome (11166111).

The spelling of 11051100 in words is "eleven million, fifty-one thousand, one hundred".