1105457108560 has 320 divisors, whose sum is σ = 3067542950400. Its totient is φ = 362480541696.

The previous prime is 1105457108549. The next prime is 1105457108687. The reversal of 1105457108560 is 658017545011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1333482226 + ... + 1333483054.

It is an arithmetic number, because the mean of its divisors is an integer number (9586071720).

Almost surely, 2^{1105457108560} is an apocalyptic number.

1105457108560 is a gapful number since it is divisible by the number (10) 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 1105457108560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533771475200).

1105457108560 is an abundant number, since it is smaller than the sum of its proper divisors (1962085841840).

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

1105457108560 is a wasteful number, since it uses less digits than its factorization.

1105457108560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 43.

The spelling of 1105457108560 in words is "one trillion, one hundred five billion, four hundred fifty-seven million, one hundred eight thousand, five hundred sixty".