103332441040 has 80 divisors (see below), whose sum is σ = 246284143056. Its totient is φ = 40295936000.

The previous prime is 103332441001. The next prime is 103332441059. The reversal of 103332441040 is 40144233301.

It can be written as a sum of positive squares in 8 ways, for example, as 8128104336 + 95204336704 = 90156^2 + 308552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 103332440996 and 103332441014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4886490 + ... + 4907590.

Almost surely, 2^103332441040 is an apocalyptic number.

103332441040 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 103332441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123142071528).

103332441040 is an abundant number, since it is smaller than the sum of its proper divisors (142951702016).

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

103332441040 is a wasteful number, since it uses less digits than its factorization.

103332441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22648 (or 22642 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 103332441040 its reverse (40144233301), we get a palindrome (143476674341).

The spelling of 103332441040 in words is "one hundred three billion, three hundred thirty-two million, four hundred forty-one thousand, forty".