1016105065110 has 64 divisors (see below), whose sum is σ = 2709758914560. Its totient is φ = 270946810080.

The previous prime is 1016105065051. The next prime is 1016105065181. The reversal of 1016105065110 is 115605016101.

1016105065110 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 0 + 5 + 0 + 651 + 1 + 0 = 666.

1016105065110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5517579 + ... + 5698761.

It is an arithmetic number, because the mean of its divisors is an integer number (42339983040).

Almost surely, 2^{1016105065110} is an apocalyptic number.

1016105065110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1016105065110 is an abundant number, since it is smaller than the sum of its proper divisors (1693653849450).

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

1016105065110 is a wasteful number, since it uses less digits than its factorization.

1016105065110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201970 (or 201964 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 1016105065110 in words is "one trillion, sixteen billion, one hundred five million, sixty-five thousand, one hundred ten".