1100110400 has 84 divisors (see below), whose sum is σ = 2758246452. Its totient is φ = 431708160.

The previous prime is 1100110397. The next prime is 1100110441. The reversal of 1100110400 is 40110011.

It can be written as a sum of positive squares in 6 ways, for example, as 158357056 + 941753344 = 12584^2 + 30688^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78314 + ... + 91286.

Almost surely, 2^1100110400 is an apocalyptic number.

1100110400 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 1100110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379123226).

1100110400 is an abundant number, since it is smaller than the sum of its proper divisors (1658136052).

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

1100110400 is a wasteful number, since it uses less digits than its factorization.

1100110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13033 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1100110400 is about 33167.9122044183. The cubic root of 1100110400 is about 1032.3146487631.

Adding to 1100110400 its reverse (40110011), we get a palindrome (1140220411).

The spelling of 1100110400 in words is "one billion, one hundred million, one hundred ten thousand, four hundred".