103581360 has 120 divisors (see below), whose sum is σ = 349758864. Its totient is φ = 27471360.

The previous prime is 103581347. The next prime is 103581383. The reversal of 103581360 is 63185301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×103581360³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 210715 + ... + 211205.

Almost surely, 2^103581360 is an apocalyptic number.

103581360 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 103581360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174879432).

103581360 is an abundant number, since it is smaller than the sum of its proper divisors (246177504).

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

103581360 is a wasteful number, since it uses less digits than its factorization.

103581360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

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

The square root of 103581360 is about 10177.4928150306. The cubic root of 103581360 is about 469.6350872055.

The spelling of 103581360 in words is "one hundred three million, five hundred eighty-one thousand, three hundred sixty".