1109170400 has 144 divisors (see below), whose sum is σ = 3043492704. Its totient is φ = 391649280.

The previous prime is 1109170393. The next prime is 1109170451. The reversal of 1109170400 is 40719011.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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, 236882 + ... + 241518.

It is an arithmetic number, because the mean of its divisors is an integer number (21135366).

Almost surely, 2^1109170400 is an apocalyptic number.

1109170400 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 1109170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521746352).

1109170400 is an abundant number, since it is smaller than the sum of its proper divisors (1934322304).

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

1109170400 is a wasteful number, since it uses less digits than its factorization.

1109170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 1109170400 is about 33304.2099440897. The cubic root of 1109170400 is about 1035.1407931566.

Adding to 1109170400 its reverse (40719011), we get a palindrome (1149889411).

The spelling of 1109170400 in words is "one billion, one hundred nine million, one hundred seventy thousand, four hundred".