1005330144 has 96 divisors (see below), whose sum is σ = 3248017920. Its totient is φ = 265139712.

The previous prime is 1005330143. The next prime is 1005330169. The reversal of 1005330144 is 4410335001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1005330144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005330143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48804 + ... + 66275.

It is an arithmetic number, because the mean of its divisors is an integer number (33833520).

Almost surely, 2^1005330144 is an apocalyptic number.

1005330144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005330144 is an abundant number, since it is smaller than the sum of its proper divisors (2242687776).

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

1005330144 is a wasteful number, since it uses less digits than its factorization.

1005330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115112 (or 115104 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1005330144 is about 31706.9415743619. The cubic root of 1005330144 is about 1001.7735672662.

Adding to 1005330144 its reverse (4410335001), we get a palindrome (5415665145).

The spelling of 1005330144 in words is "one billion, five million, three hundred thirty thousand, one hundred forty-four".