103563360 has 240 divisors, whose sum is σ = 374319792. Its totient is φ = 26956800.

The previous prime is 103563359. The next prime is 103563367. The reversal of 103563360 is 63365301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×103563360³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103563367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790495 + ... + 790625.

Almost surely, 2^103563360 is an apocalyptic number.

103563360 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 103563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187159896).

103563360 is an abundant number, since it is smaller than the sum of its proper divisors (270756432).

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

103563360 is a wasteful number, since it uses less digits than its factorization.

103563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 103563360 is about 10176.6084723743. The cubic root of 103563360 is about 469.6078817917.

The spelling of 103563360 in words is "one hundred three million, five hundred sixty-three thousand, three hundred sixty".