1005116706 has 48 divisors (see below), whose sum is σ = 2408309280. Its totient is φ = 300404160.

The previous prime is 1005116677. The next prime is 1005116731. The reversal of 1005116706 is 6076115001.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005116706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20316 + ... + 49223.

It is an arithmetic number, because the mean of its divisors is an integer number (50173110).

Almost surely, 2^1005116706 is an apocalyptic number.

1005116706 is an abundant number, since it is smaller than the sum of its proper divisors (1403192574).

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

1005116706 is a wasteful number, since it uses less digits than its factorization.

1005116706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69631 (or 69628 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1005116706 is about 31703.5756027613. The cubic root of 1005116706 is about 1001.7026679432.

It can be divided in two parts, 1005 and 116706, that added together give a palindrome (117711).

The spelling of 1005116706 in words is "one billion, five million, one hundred sixteen thousand, seven hundred six".