11100672 has 160 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 3317760.

The previous prime is 11100667. The next prime is 11100737. The reversal of 11100672 is 27600111.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152028 + ... + 152100.

It is an arithmetic number, because the mean of its divisors is an integer number (227106).

Almost surely, 2^11100672 is an apocalyptic number.

11100672 is a gapful number since it is divisible by the number (12) 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 11100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

11100672 is an abundant number, since it is smaller than the sum of its proper divisors (25236288).

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

11100672 is an equidigital number, since it uses as much as digits as its factorization.

11100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11100672 is about 3331.7670987030. The cubic root of 11100672 is about 223.0744119477.

Adding to 11100672 its reverse (27600111), we get a palindrome (38700783).

The spelling of 11100672 in words is "eleven million, one hundred thousand, six hundred seventy-two".