1144031100 has 72 divisors (see below), whose sum is σ = 3326870400. Its totient is φ = 303526080.

The previous prime is 1144031093. The next prime is 1144031123. The reversal of 1144031100 is 11304411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1144031100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 50119 + ... + 69281.

Almost surely, 2^1144031100 is an apocalyptic number.

1144031100 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 1144031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663435200).

1144031100 is an abundant number, since it is smaller than the sum of its proper divisors (2182839300).

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

1144031100 is a wasteful number, since it uses less digits than its factorization.

1144031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19379 (or 19372 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1144031100 is about 33823.5287928389. The cubic root of 1144031100 is about 1045.8737836487.

Adding to 1144031100 its reverse (11304411), we get a palindrome (1155335511).

The spelling of 1144031100 in words is "one billion, one hundred forty-four million, thirty-one thousand, one hundred".