1105200880 has 80 divisors (see below), whose sum is σ = 2996683200. Its totient is φ = 378916608.

The previous prime is 1105200869. The next prime is 1105200881. The reversal of 1105200880 is 880025011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105200881) 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 15 ways as a sum of consecutive naturals, for example, 7302 + ... + 47578.

It is an arithmetic number, because the mean of its divisors is an integer number (37458540).

Almost surely, 2^1105200880 is an apocalyptic number.

1105200880 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 1105200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498341600).

1105200880 is an abundant number, since it is smaller than the sum of its proper divisors (1891482320).

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

1105200880 is an equidigital number, since it uses as much as digits as its factorization.

1105200880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40311 (or 40291 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 1105200880 is about 33244.5616605183. The cubic root of 1105200880 is about 1033.9044566256.

Adding to 1105200880 its reverse (880025011), we get a palindrome (1985225891).

The spelling of 1105200880 in words is "one billion, one hundred five million, two hundred thousand, eight hundred eighty".