1006020300 has 144 divisors (see below), whose sum is σ = 2996808192. Its totient is φ = 260467200.

The previous prime is 1006020293. The next prime is 1006020319. The reversal of 1006020300 is 30206001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1554577 + ... + 1555223.

It is an arithmetic number, because the mean of its divisors is an integer number (20811168).

Almost surely, 2^1006020300 is an apocalyptic number.

1006020300 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 1006020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498404096).

1006020300 is an abundant number, since it is smaller than the sum of its proper divisors (1990787892).

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

1006020300 is a wasteful number, since it uses less digits than its factorization.

1006020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1006020300 is about 31717.8230652736. The cubic root of 1006020300 is about 1002.0027529695.

Adding to 1006020300 its reverse (30206001), we get a palindrome (1036226301).

The spelling of 1006020300 in words is "one billion, six million, twenty thousand, three hundred".