108904581 has 56 divisors (see below), whose sum is σ = 173480960. Its totient is φ = 68234400.

The previous prime is 108904577. The next prime is 108904597. The reversal of 108904581 is 185409801.

It is not a de Polignac number, because 108904581 - 2² = 108904577 is a prime.

It is a super-2 number, since 2×108904581² = 23720415525571122, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 108904581 = 72³ + 477³ = 261³ + 450³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108904511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1378500 + ... + 1378578.

Almost surely, 2^108904581 is an apocalyptic number.

It is an amenable number.

108904581 is a deficient number, since it is larger than the sum of its proper divisors (64576379).

108904581 is an frugal number, since it uses more digits than its factorization.

108904581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 108904581 is about 10435.7357670650. The cubic root of 108904581 is about 477.5461881621.

The spelling of 108904581 in words is "one hundred eight million, nine hundred four thousand, five hundred eighty-one".