1005605106050 has 24 divisors (see below), whose sum is σ = 1870484507892. Its totient is φ = 402229352000.

The previous prime is 1005605106041. The next prime is 1005605106071. The reversal of 1005605106050 is 506015065001.

It can be written as a sum of positive squares in 6 ways, for example, as 371047884769 + 634557221281 = 609137^2 + 796591^2 .

It is a super-2 number, since 2×1005605106050² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1372520 + ... + 1973580.

Almost surely, 2^{1005605106050} is an apocalyptic number.

1005605106050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005605106050 is a deficient number, since it is larger than the sum of its proper divisors (864879401842).

1005605106050 is a wasteful number, since it uses less digits than its factorization.

1005605106050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634534 (or 634529 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 1005605106050 in words is "one trillion, five billion, six hundred five million, one hundred six thousand, fifty".