1006844521100 has 432 divisors, whose sum is σ = 2714065351200. Its totient is φ = 321889075200.

The previous prime is 1006844521099. The next prime is 1006844521103. The reversal of 1006844521100 is 11254486001.

It is not an unprimeable number, because it can be changed into a prime (1006844521103) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 285304136 + ... + 285307664.

Almost surely, 2^{1006844521100} is an apocalyptic number.

1006844521100 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 1006844521100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357032675600).

1006844521100 is an abundant number, since it is smaller than the sum of its proper divisors (1707220830100).

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

1006844521100 is a wasteful number, since it uses less digits than its factorization.

1006844521100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 1006844521100 in words is "one trillion, six billion, eight hundred forty-four million, five hundred twenty-one thousand, one hundred".