1105114400 has 72 divisors (see below), whose sum is σ = 2905415604. Its totient is φ = 408038400.

The previous prime is 1105114363. The next prime is 1105114403. The reversal of 1105114400 is 44115011.

It can be written as a sum of positive squares in 6 ways, for example, as 3671056 + 1101443344 = 1916^2 + 33188^2 .

It is not an unprimeable number, because it can be changed into a prime (1105114403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42731 + ... + 63530.

Almost surely, 2^1105114400 is an apocalyptic number.

1105114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105114400 is an abundant number, since it is smaller than the sum of its proper divisors (1800301204).

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

1105114400 is a wasteful number, since it uses less digits than its factorization.

1105114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106294 (or 106281 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1105114400 is about 33243.2609712104. The cubic root of 1105114400 is about 1033.8774888616.

Adding to 1105114400 its reverse (44115011), we get a palindrome (1149229411).

The spelling of 1105114400 in words is "one billion, one hundred five million, one hundred fourteen thousand, four hundred".