1101023200 has 72 divisors (see below), whose sum is σ = 2698608528. Its totient is φ = 438650880.

The previous prime is 1101023149. The next prime is 1101023227. The reversal of 1101023200 is 23201011.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 207784 + ... + 213016.

It is an arithmetic number, because the mean of its divisors is an integer number (37480674).

Almost surely, 2^1101023200 is an apocalyptic number.

1101023200 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 1101023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349304264).

1101023200 is an abundant number, since it is smaller than the sum of its proper divisors (1597585328).

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

1101023200 is a wasteful number, since it uses less digits than its factorization.

1101023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1101023200 is about 33181.6696385218. The cubic root of 1101023200 is about 1032.6000856649.

Adding to 1101023200 its reverse (23201011), we get a palindrome (1124224211).

The spelling of 1101023200 in words is "one billion, one hundred one million, twenty-three thousand, two hundred".