1020306144 has 96 divisors (see below), whose sum is σ = 3146580864. Its totient is φ = 285396480.

The previous prime is 1020306121. The next prime is 1020306149. The reversal of 1020306144 is 4416030201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020306144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020306149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23434 + ... + 50889.

It is an arithmetic number, because the mean of its divisors is an integer number (32776884).

Almost surely, 2^1020306144 is an apocalyptic number.

It is an amenable number.

1020306144 is an abundant number, since it is smaller than the sum of its proper divisors (2126274720).

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

1020306144 is a wasteful number, since it uses less digits than its factorization.

1020306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74360 (or 74352 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1020306144 is about 31942.2313559964. The cubic root of 1020306144 is about 1006.7234091275.

Adding to 1020306144 its reverse (4416030201), we get a palindrome (5436336345).

The spelling of 1020306144 in words is "one billion, twenty million, three hundred six thousand, one hundred forty-four".