1100110000 has 200 divisors, whose sum is σ = 2966912784. Its totient is φ = 391680000.

The previous prime is 1100109961. The next prime is 1100110007. The reversal of 1100110000 is 110011.

It is a tau number, because it is divible by the number of its divisors (200).

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 not an unprimeable number, because it can be changed into a prime (1100110007) 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 39 ways as a sum of consecutive naturals, for example, 8029932 + ... + 8030068.

Almost surely, 2^1100110000 is an apocalyptic number.

1100110000 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 1100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483456392).

1100110000 is an abundant number, since it is smaller than the sum of its proper divisors (1866802784).

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

1100110000 is a wasteful number, since it uses less digits than its factorization.

1100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

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

The square root of 1100110000 is about 33167.9061744934. The cubic root of 1100110000 is about 1032.3145236466.

Adding to 1100110000 its reverse (110011), we get a palindrome (1100220011).

Multiplying 1100110000 by its reverse (110011), we get a square (121024201210000 = 11001100²).

1100110000 divided by its reverse (110011) gives a 4-th power (10000 = 10⁴).

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

The spelling of 1100110000 in words is "one billion, one hundred million, one hundred ten thousand".