1105593216 has 256 divisors, whose sum is σ = 3742502400. Its totient is φ = 281272320.

The previous prime is 1105593179. The next prime is 1105593217. The reversal of 1105593216 is 6123955011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105593217) 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, 1012831 + ... + 1013921.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2^1105593216 is an apocalyptic number.

1105593216 is a gapful number since it is divisible by the number (16) 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 1105593216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871251200).

1105593216 is an abundant number, since it is smaller than the sum of its proper divisors (2636909184).

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

1105593216 is a wasteful number, since it uses less digits than its factorization.

1105593216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 1105593216 is about 33250.4618915287. The cubic root of 1105593216 is about 1034.0267842967.

The spelling of 1105593216 in words is "one billion, one hundred five million, five hundred ninety-three thousand, two hundred sixteen".