1101032352 has 180 divisors, whose sum is σ = 3767210370. Its totient is φ = 314544384.

The previous prime is 1101032351. The next prime is 1101032369. The reversal of 1101032352 is 2532301011.

It can be written as a sum of positive squares in only one way, i.e., 960752016 + 140280336 = 30996^2 + 11844^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1101032351) 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 29 ways as a sum of consecutive naturals, for example, 122674 + ... + 131342.

Almost surely, 2^1101032352 is an apocalyptic number.

1101032352 is a gapful number since it is divisible by the number (12) 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 1101032352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883605185).

1101032352 is an abundant number, since it is smaller than the sum of its proper divisors (2666178018).

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

1101032352 is an equidigital number, since it uses as much as digits as its factorization.

1101032352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1101032352 is about 33181.8075457019. The cubic root of 1101032352 is about 1032.6029467399.

Adding to 1101032352 its reverse (2532301011), we get a palindrome (3633333363).

The spelling of 1101032352 in words is "one billion, one hundred one million, thirty-two thousand, three hundred fifty-two".