103339765440 has 448 divisors, whose sum is σ = 384750259200. Its totient is φ = 26058498048.

The previous prime is 103339765429. The next prime is 103339765447. The reversal of 103339765440 is 44567933301.

103339765440 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 39 + 76 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103339765447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17683159 + ... + 17689001.

Almost surely, 2^103339765440 is an apocalyptic number.

103339765440 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 103339765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192375129600).

103339765440 is an abundant number, since it is smaller than the sum of its proper divisors (281410493760).

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

103339765440 is a wasteful number, since it uses less digits than its factorization.

103339765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 103339765440 in words is "one hundred three billion, three hundred thirty-nine million, seven hundred sixty-five thousand, four hundred forty".