1106305057506 has 192 divisors, whose sum is σ = 2575219599360. Its totient is φ = 314162513280.

The previous prime is 1106305057477. The next prime is 1106305057519. The reversal of 1106305057506 is 6057505036011.

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 95 ways as a sum of consecutive naturals, for example, 985133061 + ... + 985134183.

It is an arithmetic number, because the mean of its divisors is an integer number (13412602080).

Almost surely, 2^{1106305057506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106305057506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287609799680).

1106305057506 is an abundant number, since it is smaller than the sum of its proper divisors (1468914541854).

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

1106305057506 is a wasteful number, since it uses less digits than its factorization.

1106305057506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The spelling of 1106305057506 in words is "one trillion, one hundred six billion, three hundred five million, fifty-seven thousand, five hundred six".