103305353680 has 20 divisors (see below), whose sum is σ = 240184947492. Its totient is φ = 41322141440.

The previous prime is 103305353677. The next prime is 103305353681. The reversal of 103305353680 is 86353503301.

103305353680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29404018576 + 73901335104 = 171476^2 + 271848^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103305353681) 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 3 ways as a sum of consecutive naturals, for example, 645658381 + ... + 645658540.

Almost surely, 2^103305353680 is an apocalyptic number.

103305353680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103305353680 is an abundant number, since it is smaller than the sum of its proper divisors (136879593812).

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

103305353680 is a wasteful number, since it uses less digits than its factorization.

103305353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291316934 (or 1291316928 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

Adding to 103305353680 its reverse (86353503301), we get a palindrome (189658856981).

The spelling of 103305353680 in words is "one hundred three billion, three hundred five million, three hundred fifty-three thousand, six hundred eighty".