1144052100 has 90 divisors (see below), whose sum is σ = 3708591194. Its totient is φ = 305078400.

The previous prime is 1144052093. The next prime is 1144052101. The reversal of 1144052100 is 12504411.

1144052100 is a `hidden beast` number, since 1 + 144 + 0 + 521 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 246929796 + 897122304 = 15714^2 + 29952^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (1144052101) 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 29 ways as a sum of consecutive naturals, for example, 62521 + ... + 78720.

Almost surely, 2^1144052100 is an apocalyptic number.

1144052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144052100 is an abundant number, since it is smaller than the sum of its proper divisors (2564539094).

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

1144052100 is a wasteful number, since it uses less digits than its factorization.

1144052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141267 (or 141251 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1144052100 is about 33823.8392262026. The cubic root of 1144052100 is about 1045.8801830130.

Adding to 1144052100 its reverse (12504411), we get a palindrome (1156556511).

The spelling of 1144052100 in words is "one billion, one hundred forty-four million, fifty-two thousand, one hundred".