1105181120 has 112 divisors (see below), whose sum is σ = 2720705760. Its totient is φ = 427290624.

The previous prime is 1105181081. The next prime is 1105181137. The reversal of 1105181120 is 211815011.

1105181120 = T₁₄₄ + T₁₄₅ + ... + T₁₈₇₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1105181092 and 1105181101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3184787 + ... + 3185133.

Almost surely, 2^1105181120 is an apocalyptic number.

1105181120 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 1105181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360352880).

1105181120 is an abundant number, since it is smaller than the sum of its proper divisors (1615524640).

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

1105181120 is a wasteful number, since it uses less digits than its factorization.

1105181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 20.

The square root of 1105181120 is about 33244.2644677244. The cubic root of 1105181120 is about 1033.8982948276.

Adding to 1105181120 its reverse (211815011), we get a palindrome (1316996131).

The spelling of 1105181120 in words is "one billion, one hundred five million, one hundred eighty-one thousand, one hundred twenty".