1006204300900 has 72 divisors (see below), whose sum is σ = 2298665688480. Its totient is φ = 381251485440.

The previous prime is 1006204300873. The next prime is 1006204300901. The reversal of 1006204300900 is 90034026001.

1006204300900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1006204300901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18016419 + ... + 18072181.

It is an arithmetic number, because the mean of its divisors is an integer number (31925912340).

Almost surely, 2^{1006204300900} is an apocalyptic number.

1006204300900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006204300900 is an abundant number, since it is smaller than the sum of its proper divisors (1292461387580).

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

1006204300900 is a wasteful number, since it uses less digits than its factorization.

1006204300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65293 (or 65286 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 1006204300900 its reverse (90034026001), we get a palindrome (1096238326901).

The spelling of 1006204300900 in words is "one trillion, six billion, two hundred four million, three hundred thousand, nine hundred".