1105052742768 has 160 divisors (see below), whose sum is σ = 3347710732800. Its totient is φ = 311012932608.

The previous prime is 1105052742751. The next prime is 1105052742769. The reversal of 1105052742768 is 8672472505011.

It is a super-2 number, since 2×1105052742768² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105052742769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263180 + ... + 1950827.

It is an arithmetic number, because the mean of its divisors is an integer number (20923192080).

Almost surely, 2^{1105052742768} is an apocalyptic number.

It is an amenable number.

1105052742768 is an abundant number, since it is smaller than the sum of its proper divisors (2242657990032).

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

1105052742768 is a wasteful number, since it uses less digits than its factorization.

1105052742768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214079 (or 3214073 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 1105052742768 in words is "one trillion, one hundred five billion, fifty-two million, seven hundred forty-two thousand, seven hundred sixty-eight".