1103042040100 has 288 divisors, whose sum is σ = 3215916168192. Its totient is φ = 317148480000.

The previous prime is 1103042040071. The next prime is 1103042040103. The reversal of 1103042040100 is 10402403011.

It is not an unprimeable number, because it can be changed into a prime (1103042040103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213310515 + ... + 213315685.

It is an arithmetic number, because the mean of its divisors is an integer number (11166375584).

Almost surely, 2^{1103042040100} is an apocalyptic number.

1103042040100 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 1103042040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607958084096).

1103042040100 is an abundant number, since it is smaller than the sum of its proper divisors (2112874128092).

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

1103042040100 is a wasteful number, since it uses less digits than its factorization.

1103042040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1103042040100 its reverse (10402403011), we get a palindrome (1113444443111).

The spelling of 1103042040100 in words is "one trillion, one hundred three billion, forty-two million, forty thousand, one hundred".