103581120 has 56 divisors (see below), whose sum is σ = 328873104. Its totient is φ = 27621376.

The previous prime is 103581083. The next prime is 103581151. The reversal of 103581120 is 21185301.

It is a super-3 number, since 3×103581120³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52989 + ... + 54908.

It is an arithmetic number, because the mean of its divisors is an integer number (5872734).

Almost surely, 2^103581120 is an apocalyptic number.

103581120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103581120 is an abundant number, since it is smaller than the sum of its proper divisors (225291984).

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

103581120 is a wasteful number, since it uses less digits than its factorization.

103581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107917 (or 107907 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 103581120 is about 10177.4810243007. The cubic root of 103581120 is about 469.6347244874.

The spelling of 103581120 in words is "one hundred three million, five hundred eighty-one thousand, one hundred twenty".