1106400000 has 216 divisors, whose sum is σ = 3688545168. Its totient is φ = 294400000.

The previous prime is 1106399971. The next prime is 1106400007. The reversal of 1106400000 is 46011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1106400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399770 + ... + 2400230.

It is an arithmetic number, because the mean of its divisors is an integer number (17076598).

Almost surely, 2^1106400000 is an apocalyptic number.

1106400000 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 1106400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844272584).

1106400000 is an abundant number, since it is smaller than the sum of its proper divisors (2582145168).

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

1106400000 is an frugal number, since it uses more digits than its factorization.

1106400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1106400000 is about 33262.5916007758. The cubic root of 1106400000 is about 1034.2782430952.

Adding to 1106400000 its reverse (46011), we get a palindrome (1106446011).

The spelling of 1106400000 in words is "one billion, one hundred six million, four hundred thousand".