103332331444100 has 144 divisors (see below), whose sum is σ = 253217109942720. Its totient is φ = 36255851788800.

The previous prime is 103332331444091. The next prime is 103332331444103. The reversal of 103332331444100 is 1444133233301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103332331444103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47520254 + ... + 49647146.

It is an arithmetic number, because the mean of its divisors is an integer number (1758452152380).

Almost surely, 2^{103332331444100} is an apocalyptic number.

103332331444100 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 103332331444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126608554971360).

103332331444100 is an abundant number, since it is smaller than the sum of its proper divisors (149884778498620).

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

103332331444100 is a wasteful number, since it uses less digits than its factorization.

103332331444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128470 (or 2128463 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 103332331444100 its reverse (1444133233301), we get a palindrome (104776464677401).

It can be divided in two parts, 1033323 and 31444100, that added together give a palindrome (32477423).

The spelling of 103332331444100 in words is "one hundred three trillion, three hundred thirty-two billion, three hundred thirty-one million, four hundred forty-four thousand, one hundred".