1105113600 has 360 divisors, whose sum is σ = 4051779732. Its totient is φ = 287539200.

The previous prime is 1105113599. The next prime is 1105113629. The reversal of 1105113600 is 63115011.

1105113600 is a `hidden beast` number, since 1 + 1 + 0 + 51 + 13 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 181926144 + 923187456 = 13488^2 + 30384^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6105510 + ... + 6105690.

Almost surely, 2^1105113600 is an apocalyptic number.

1105113600 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 1105113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025889866).

1105113600 is an abundant number, since it is smaller than the sum of its proper divisors (2946666132).

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

1105113600 is a wasteful number, since it uses less digits than its factorization.

1105113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1105113600 is about 33243.2489386943. The cubic root of 1105113600 is about 1033.8772393845.

Adding to 1105113600 its reverse (63115011), we get a palindrome (1168228611).

The spelling of 1105113600 in words is "one billion, one hundred five million, one hundred thirteen thousand, six hundred".