1100001100 has 72 divisors (see below), whose sum is σ = 2630050416. Its totient is φ = 396000000.

The previous prime is 1100001079. The next prime is 1100001101. The reversal of 1100001100 is 11000011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1100001100.

It is not an unprimeable number, because it can be changed into a prime (1100001101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 106150 + ... + 116050.

It is an arithmetic number, because the mean of its divisors is an integer number (36528478).

Almost surely, 2^1100001100 is an apocalyptic number.

1100001100 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 1100001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315025208).

1100001100 is an abundant number, since it is smaller than the sum of its proper divisors (1530049316).

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

1100001100 is a wasteful number, since it uses less digits than its factorization.

1100001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10027 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1100001100 is about 33166.2644866738. The cubic root of 1100001100 is about 1032.2804595496.

Adding to 1100001100 its reverse (11000011), we get a palindrome (1111001111).

1100001100 divided by its reverse (11000011) gives a square (100 = 10²).

It can be divided in two parts, 110000 and 1100, that multiplied together give a square (121000000 = 11000²).

The spelling of 1100001100 in words is "one billion, one hundred million, one thousand, one hundred".