1100113200 has 180 divisors, whose sum is σ = 3875528488. Its totient is φ = 288921600.

The previous prime is 1100113169. The next prime is 1100113211. The reversal of 1100113200 is 23110011.

It is a tau number, because it is divible by the number of its divisors (180).

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 238920 + ... + 243480.

Almost surely, 2^1100113200 is an apocalyptic number.

1100113200 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 1100113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937764244).

1100113200 is an abundant number, since it is smaller than the sum of its proper divisors (2775415288).

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

1100113200 is a wasteful number, since it uses less digits than its factorization.

1100113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4638 counting only the distinct ones).

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

The square root of 1100113200 is about 33167.9544138616. The cubic root of 1100113200 is about 1032.3155245778.

Adding to 1100113200 its reverse (23110011), we get a palindrome (1123223211).

The spelling of 1100113200 in words is "one billion, one hundred million, one hundred thirteen thousand, two hundred".