1016016501105 has 24 divisors (see below), whose sum is σ = 1762158219432. Its totient is φ = 541548405504.

The previous prime is 1016016501083. The next prime is 1016016501119. The reversal of 1016016501105 is 5011056106101.

1016016501105 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 1 + 650 + 1 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6877716624 + 1009138784481 = 82932^2 + 1004559^2 .

It is not a de Polignac number, because 1016016501105 - 2⁶ = 1016016501041 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6738394 + ... + 6887523.

It is an arithmetic number, because the mean of its divisors is an integer number (73423259143).

Almost surely, 2^{1016016501105} is an apocalyptic number.

1016016501105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1016016501105 is a deficient number, since it is larger than the sum of its proper divisors (746141718327).

1016016501105 is a wasteful number, since it uses less digits than its factorization.

1016016501105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13627585 (or 13627582 counting only the distinct ones).

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

The spelling of 1016016501105 in words is "one trillion, sixteen billion, sixteen million, five hundred one thousand, one hundred five".