11312100 has 54 divisors (see below), whose sum is σ = 35459970. Its totient is φ = 3016320.

The previous prime is 11312099. The next prime is 11312111. The reversal of 11312100 is 121311.

It can be written as a sum of positive squares in 3 ways, for example, as 3594816 + 7717284 = 1896^2 + 2778^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 5385 + ... + 7184.

Almost surely, 2^11312100 is an apocalyptic number.

11312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312100 is an abundant number, since it is smaller than the sum of its proper divisors (24147870).

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

11312100 is a wasteful number, since it uses less digits than its factorization.

11312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11312100 is about 3363.3465477111. The cubic root of 11312100 is about 224.4817702702.

Adding to 11312100 its reverse (121311), we get a palindrome (11433411).

The spelling of 11312100 in words is "eleven million, three hundred twelve thousand, one hundred".