103311104243300 has 144 divisors (see below), whose sum is σ = 226229160407040. Its totient is φ = 40949148240000.

The previous prime is 103311104243297. The next prime is 103311104243309. The reversal of 103311104243300 is 3342401113301.

It is a super-3 number, since 3×103311104243300³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103311104243300.

It is not an unprimeable number, because it can be changed into a prime (103311104243309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10726929485 + ... + 10726939115.

It is an arithmetic number, because the mean of its divisors is an integer number (1571035836160).

Almost surely, 2^{103311104243300} is an apocalyptic number.

103311104243300 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 103311104243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113114580203520).

103311104243300 is an abundant number, since it is smaller than the sum of its proper divisors (122918056163740).

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

103311104243300 is a wasteful number, since it uses less digits than its factorization.

103311104243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482 (or 11475 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 103311104243300 its reverse (3342401113301), we get a palindrome (106653505356601).

The spelling of 103311104243300 in words is "one hundred three trillion, three hundred eleven billion, one hundred four million, two hundred forty-three thousand, three hundred".