103102343330100 has 144 divisors (see below), whose sum is σ = 315888556838400. Its totient is φ = 25874086277120.

The previous prime is 103102343330099. The next prime is 103102343330111. The reversal of 103102343330100 is 1033343201301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50400016 + ... + 52405784.

It is an arithmetic number, because the mean of its divisors is an integer number (2193670533600).

Almost surely, 2^{103102343330100} is an apocalyptic number.

103102343330100 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 103102343330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157944278419200).

103102343330100 is an abundant number, since it is smaller than the sum of its proper divisors (212786213508300).

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

103102343330100 is a wasteful number, since it uses less digits than its factorization.

103102343330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015882 (or 2015875 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103102343330100 its reverse (1033343201301), we get a palindrome (104135686531401).

The spelling of 103102343330100 in words is "one hundred three trillion, one hundred two billion, three hundred forty-three million, three hundred thirty thousand, one hundred".