103305960 has 96 divisors (see below), whose sum is σ = 340835040. Its totient is φ = 27130752.

The previous prime is 103305929. The next prime is 103305967. The reversal of 103305960 is 69503301.

It is not an unprimeable number, because it can be changed into a prime (103305967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21979 + ... + 26261.

It is an arithmetic number, because the mean of its divisors is an integer number (3550365).

Almost surely, 2^103305960 is an apocalyptic number.

103305960 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 103305960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170417520).

103305960 is an abundant number, since it is smaller than the sum of its proper divisors (237529080).

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

103305960 is a wasteful number, since it uses less digits than its factorization.

103305960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103305960 is about 10163.9539550315. The cubic root of 103305960 is about 469.2184990624.

It can be divided in two parts, 10330 and 5960, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 103305960 in words is "one hundred three million, three hundred five thousand, nine hundred sixty".