1005505106110 has 32 divisors (see below), whose sum is σ = 1819355359680. Its totient is φ = 400107036672.

The previous prime is 1005505106063. The next prime is 1005505106147. The reversal of 1005505106110 is 116015055001.

1005505106110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005505106110² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687071 + ... + 2203909.

It is an arithmetic number, because the mean of its divisors is an integer number (56854854990).

Almost surely, 2^{1005505106110} is an apocalyptic number.

1005505106110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005505106110 is a deficient number, since it is larger than the sum of its proper divisors (813850253570).

1005505106110 is a wasteful number, since it uses less digits than its factorization.

1005505106110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517860.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 1005505106110 in words is "one trillion, five billion, five hundred five million, one hundred six thousand, one hundred ten".