103560960 has 144 divisors (see below), whose sum is σ = 334807200. Its totient is φ = 27279360.

The previous prime is 103560953. The next prime is 103560967. The reversal of 103560960 is 69065301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103560953) and next prime (103560967).

It is a super-3 number, since 3×103560960³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103560967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572070 + ... + 572250.

It is an arithmetic number, because the mean of its divisors is an integer number (2325050).

Almost surely, 2^103560960 is an apocalyptic number.

103560960 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 103560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167403600).

103560960 is an abundant number, since it is smaller than the sum of its proper divisors (231246240).

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

103560960 is a wasteful number, since it uses less digits than its factorization.

103560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 103560960 is about 10176.4905542137. The cubic root of 103560960 is about 469.6042541650.

The spelling of 103560960 in words is "one hundred three million, five hundred sixty thousand, nine hundred sixty".