1004661006104 has 64 divisors (see below), whose sum is σ = 2164823193600. Its totient is φ = 428178328704.

The previous prime is 1004661006091. The next prime is 1004661006109. The reversal of 1004661006104 is 4016001664001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004661006109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9759269 + ... + 9861675.

It is an arithmetic number, because the mean of its divisors is an integer number (33825362400).

Almost surely, 2^{1004661006104} is an apocalyptic number.

1004661006104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004661006104 is an abundant number, since it is smaller than the sum of its proper divisors (1160162187496).

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

1004661006104 is a wasteful number, since it uses less digits than its factorization.

1004661006104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103392 (or 103388 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 1004661006104 in words is "one trillion, four billion, six hundred sixty-one million, six thousand, one hundred four".