1020300032 has 72 divisors (see below), whose sum is σ = 2093832720. Its totient is φ = 496005120.

The previous prime is 1020300007. The next prime is 1020300037. The reversal of 1020300032 is 2300030201.

It is a junction number, because it is equal to n+sod(n) for n = 1020299986 and 1020300022.

It is not an unprimeable number, because it can be changed into a prime (1020300037) 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 7 ways as a sum of consecutive naturals, for example, 1885682 + ... + 1886222.

It is an arithmetic number, because the mean of its divisors is an integer number (29081010).

Almost surely, 2^1020300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046916360).

1020300032 is an abundant number, since it is smaller than the sum of its proper divisors (1073532688).

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

1020300032 is an equidigital number, since it uses as much as digits as its factorization.

1020300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1020300032 is about 31942.1356831380. The cubic root of 1020300032 is about 1006.7213989120.

Adding to 1020300032 its reverse (2300030201), we get a palindrome (3320330233).

The spelling of 1020300032 in words is "one billion, twenty million, three hundred thousand, thirty-two".