103318560 has 144 divisors (see below), whose sum is σ = 355596696. Its totient is φ = 27316224.

The previous prime is 103318559. The next prime is 103318577. The reversal of 103318560 is 65813301.

It can be written as a sum of positive squares in 4 ways, for example, as 90098064 + 13220496 = 9492^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225852 + ... + 226308.

Almost surely, 2^103318560 is an apocalyptic number.

103318560 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 103318560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177798348).

103318560 is an abundant number, since it is smaller than the sum of its proper divisors (252278136).

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

103318560 is a wasteful number, since it uses less digits than its factorization.

103318560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103318560 is about 10164.5737736513. The cubic root of 103318560 is about 469.2375748019.

The spelling of 103318560 in words is "one hundred three million, three hundred eighteen thousand, five hundred sixty".