1006105884 has 24 divisors (see below), whose sum is σ = 2682949248. Its totient is φ = 287458800.

The previous prime is 1006105817. The next prime is 1006105889. The reversal of 1006105884 is 4885016001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006105889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5988642 + ... + 5988809.

It is an arithmetic number, because the mean of its divisors is an integer number (111789552).

Almost surely, 2^1006105884 is an apocalyptic number.

1006105884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006105884 is an abundant number, since it is smaller than the sum of its proper divisors (1676843364).

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

1006105884 is a wasteful number, since it uses less digits than its factorization.

1006105884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11977465 (or 11977463 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1006105884 is about 31719.1721833972. The cubic root of 1006105884 is about 1002.0311662371.

The spelling of 1006105884 in words is "one billion, six million, one hundred five thousand, eight hundred eighty-four".