1100135400 has 192 divisors, whose sum is σ = 4197648000. Its totient is φ = 232104960.

The previous prime is 1100135383. The next prime is 1100135419. The reversal of 1100135400 is 45310011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100135400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44526 + ... + 64674.

It is an arithmetic number, because the mean of its divisors is an integer number (21862750).

Almost surely, 2^1100135400 is an apocalyptic number.

1100135400 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 1100135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098824000).

1100135400 is an abundant number, since it is smaller than the sum of its proper divisors (3097512600).

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

1100135400 is a wasteful number, since it uses less digits than its factorization.

1100135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20188 (or 20179 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1100135400 is about 33168.2890725464. The cubic root of 1100135400 is about 1032.3224684846.

Adding to 1100135400 its reverse (45310011), we get a palindrome (1145445411).

The spelling of 1100135400 in words is "one billion, one hundred million, one hundred thirty-five thousand, four hundred".