1109052000 has 576 divisors, whose sum is σ = 4693538304. Its totient is φ = 251942400.

The previous prime is 1109051987. The next prime is 1109052029. The reversal of 1109052000 is 2509011.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 6803919 + ... + 6804081.

It is an arithmetic number, because the mean of its divisors is an integer number (8148504).

Almost surely, 2^1109052000 is an apocalyptic number.

1109052000 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 1109052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346769152).

1109052000 is an abundant number, since it is smaller than the sum of its proper divisors (3584486304).

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

1109052000 is an equidigital number, since it uses as much as digits as its factorization.

1109052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1109052000 is about 33302.4323435992. The cubic root of 1109052000 is about 1035.1039593118.

The spelling of 1109052000 in words is "one billion, one hundred nine million, fifty-two thousand".