1101105500616 has 128 divisors (see below), whose sum is σ = 3337828560000. Its totient is φ = 333553812480.

The previous prime is 1101105500581. The next prime is 1101105500689. The reversal of 1101105500616 is 6160055011011.

1101105500616 is a `hidden beast` number, since 1 + 101 + 1 + 0 + 550 + 0 + 6 + 1 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1101105500616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6976300 + ... + 7132388.

It is an arithmetic number, because the mean of its divisors is an integer number (26076785625).

Almost surely, 2^{1101105500616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101105500616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668914280000).

1101105500616 is an abundant number, since it is smaller than the sum of its proper divisors (2236723059384).

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

1101105500616 is a wasteful number, since it uses less digits than its factorization.

1101105500616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159084 (or 159074 counting only the distinct ones).

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

The spelling of 1101105500616 in words is "one trillion, one hundred one billion, one hundred five million, five hundred thousand, six hundred sixteen".