11128100 has 36 divisors (see below), whose sum is σ = 24297924. Its totient is φ = 4423680.

The previous prime is 11128093. The next prime is 11128109. The reversal of 11128100 is 182111.

It can be written as a sum of positive squares in 6 ways, for example, as 12544 + 11115556 = 112^2 + 3334^2 .

It is a super-2 number, since 2×11128100² = 247669219220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11128109) 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 11 ways as a sum of consecutive naturals, for example, 25484 + ... + 25916.

Almost surely, 2^11128100 is an apocalyptic number.

11128100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11128100 is an abundant number, since it is smaller than the sum of its proper divisors (13169824).

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

11128100 is a wasteful number, since it uses less digits than its factorization.

11128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 11128100 is about 3335.8806933102. The cubic root of 11128100 is about 223.2579879993.

The spelling of 11128100 in words is "eleven million, one hundred twenty-eight thousand, one hundred".