1105487301072 has 480 divisors, whose sum is σ = 3789068626944. Its totient is φ = 274119014400.

The previous prime is 1105487301071. The next prime is 1105487301119. The reversal of 1105487301072 is 2701037845011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1105487301072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105487301071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367148047 + ... + 367151057.

Almost surely, 2^{1105487301072} is an apocalyptic number.

1105487301072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105487301072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894534313472).

1105487301072 is an abundant number, since it is smaller than the sum of its proper divisors (2683581325872).

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

1105487301072 is a wasteful number, since it uses less digits than its factorization.

1105487301072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 1105487301072 in words is "one trillion, one hundred five billion, four hundred eighty-seven million, three hundred one thousand, seventy-two".