1105105516101 has 12 divisors (see below), whose sum is σ = 1616469391680. Its totient is φ = 727411225320.

The previous prime is 1105105516051. The next prime is 1105105516121. The reversal of 1105105516101 is 1016155015011.

1105105516101 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 1 + 0 + 551 + 6 + 101 = 666.

It is not a de Polignac number, because 1105105516101 - 2⁶ = 1105105516037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105105516121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777148035 + ... + 777149456.

It is an arithmetic number, because the mean of its divisors is an integer number (134705782640).

Almost surely, 2^{1105105516101} is an apocalyptic number.

It is an amenable number.

1105105516101 is a deficient number, since it is larger than the sum of its proper divisors (511363875579).

1105105516101 is a wasteful number, since it uses less digits than its factorization.

1105105516101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554297576 (or 1554297573 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 1105105516101 in words is "one trillion, one hundred five billion, one hundred five million, five hundred sixteen thousand, one hundred one".