1103542525200 has 120 divisors (see below), whose sum is σ = 3539133128800. Its totient is φ = 293935150080.

The previous prime is 1103542525199. The next prime is 1103542525219. The reversal of 1103542525200 is 25252453011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1103542525200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495516 + ... + 1566084.

Almost surely, 2^{1103542525200} is an apocalyptic number.

1103542525200 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 1103542525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769566564400).

1103542525200 is an abundant number, since it is smaller than the sum of its proper divisors (2435590603600).

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

1103542525200 is a wasteful number, since it uses less digits than its factorization.

1103542525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071449 (or 1071438 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 1103542525200 its reverse (25252453011), we get a palindrome (1128794978211).

The spelling of 1103542525200 in words is "one trillion, one hundred three billion, five hundred forty-two million, five hundred twenty-five thousand, two hundred".