1109145600 has 432 divisors, whose sum is σ = 4158718200. Its totient is φ = 282132480.

The previous prime is 1109145593. The next prime is 1109145601. The reversal of 1109145600 is 65419011.

1109145600 is a `hidden beast` number, since 1 + 10 + 9 + 1 + 45 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109145601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13363159 + ... + 13363241.

Almost surely, 2^1109145600 is an apocalyptic number.

1109145600 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 1109145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079359100).

1109145600 is an abundant number, since it is smaller than the sum of its proper divisors (3049572600).

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

1109145600 is a wasteful number, since it uses less digits than its factorization.

1109145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1109145600 is about 33303.8376167072. The cubic root of 1109145600 is about 1035.1330781765.

The spelling of 1109145600 in words is "one billion, one hundred nine million, one hundred forty-five thousand, six hundred".