11072900 has 18 divisors (see below), whose sum is σ = 24028410. Its totient is φ = 4429120.

The previous prime is 11072891. The next prime is 11072909. The reversal of 11072900 is 927011.

It is an interprime number because it is at equal distance from previous prime (11072891) and next prime (11072909).

It can be written as a sum of positive squares in 3 ways, for example, as 1684804 + 9388096 = 1298^2 + 3064^2 .

It is a super-2 number, since 2×11072900² = 245218228820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11072909) 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 5 ways as a sum of consecutive naturals, for example, 55265 + ... + 55464.

Almost surely, 2^11072900 is an apocalyptic number.

11072900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11072900 is an abundant number, since it is smaller than the sum of its proper divisors (12955510).

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

11072900 is a wasteful number, since it uses less digits than its factorization.

11072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110743 (or 110736 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 11072900 is about 3327.5967303746. The cubic root of 11072900 is about 222.8882251347. Note that the first 3 decimals are identical.

Adding to 11072900 its reverse (927011), we get a palindrome (11999911).

The spelling of 11072900 in words is "eleven million, seventy-two thousand, nine hundred".