1105105105050 has 192 divisors, whose sum is σ = 2977389684864. Its totient is φ = 270163763200.

The previous prime is 1105105105019. The next prime is 1105105105057. The reversal of 1105105105050 is 505015015011.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1105105105050.

It is not an unprimeable number, because it can be changed into a prime (1105105105057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68263057 + ... + 68279243.

It is an arithmetic number, because the mean of its divisors is an integer number (15507237942).

Almost surely, 2^{1105105105050} is an apocalyptic number.

1105105105050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105105105050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488694842432).

1105105105050 is an abundant number, since it is smaller than the sum of its proper divisors (1872284579814).

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

1105105105050 is a wasteful number, since it uses less digits than its factorization.

1105105105050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16913 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 1105105105050 in words is "one trillion, one hundred five billion, one hundred five million, one hundred five thousand, fifty".