1105357680 has 720 divisors, whose sum is σ = 4862501280. Its totient is φ = 222953472.

The previous prime is 1105357601. The next prime is 1105357681. The reversal of 1105357680 is 867535011.

1105357680 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 3 + 576 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105357681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11395392 + ... + 11395488.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2^1105357680 is an apocalyptic number.

1105357680 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 1105357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431250640).

1105357680 is an abundant number, since it is smaller than the sum of its proper divisors (3757143600).

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

1105357680 is a wasteful number, since it uses less digits than its factorization.

1105357680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1105357680 is about 33246.9198573342. The cubic root of 1105357680 is about 1033.9533492616.

The spelling of 1105357680 in words is "one billion, one hundred five million, three hundred fifty-seven thousand, six hundred eighty".