1705061106 has 72 divisors (see below), whose sum is σ = 4260634560. Its totient is φ = 482748336.

The previous prime is 1705061089. The next prime is 1705061117. The reversal of 1705061106 is 6011605071.

It is a self number, because there is not a number n which added to its sum of digits gives 1705061106.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2031835 + ... + 2032673.

It is an arithmetic number, because the mean of its divisors is an integer number (59175480).

Almost surely, 2^1705061106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1705061106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130317280).

1705061106 is an abundant number, since it is smaller than the sum of its proper divisors (2555573454).

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

1705061106 is a wasteful number, since it uses less digits than its factorization.

1705061106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 978 counting only the distinct ones).

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

The square root of 1705061106 is about 41292.3855692548. The cubic root of 1705061106 is about 1194.6663998800. Note that the first 3 decimals are identical.

Adding to 1705061106 its reverse (6011605071), we get a palindrome (7716666177).

The spelling of 1705061106 in words is "one billion, seven hundred five million, sixty-one thousand, one hundred six".