103305959920 has 160 divisors (see below), whose sum is σ = 260109066240. Its totient is φ = 38064768000.

The previous prime is 103305959917. The next prime is 103305959923. The reversal of 103305959920 is 29959503301.

It is an interprime number because it is at equal distance from previous prime (103305959917) and next prime (103305959923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103305959923) 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 31 ways as a sum of consecutive naturals, for example, 5096205 + ... + 5116435.

It is an arithmetic number, because the mean of its divisors is an integer number (1625681664).

Almost surely, 2^103305959920 is an apocalyptic number.

103305959920 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 103305959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130054533120).

103305959920 is an abundant number, since it is smaller than the sum of its proper divisors (156803106320).

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

103305959920 is a wasteful number, since it uses less digits than its factorization.

103305959920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20375 (or 20369 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 46.

The spelling of 103305959920 in words is "one hundred three billion, three hundred five million, nine hundred fifty-nine thousand, nine hundred twenty".