108506144 has 24 divisors (see below), whose sum is σ = 214740540. Its totient is φ = 53968896.

The previous prime is 108506141. The next prime is 108506147. The reversal of 108506144 is 441605801.

It is an interprime number because it is at equal distance from previous prime (108506141) and next prime (108506147).

It can be written as a sum of positive squares in 2 ways, for example, as 87235600 + 21270544 = 9340^2 + 4612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108506141) 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 3 ways as a sum of consecutive naturals, for example, 2609 + ... + 14960.

Almost surely, 2^108506144 is an apocalyptic number.

It is an amenable number.

108506144 is a deficient number, since it is larger than the sum of its proper divisors (106234396).

108506144 is a wasteful number, since it uses less digits than its factorization.

108506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17772 (or 17764 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 108506144 is about 10416.6282452625. The cubic root of 108506144 is about 476.9630948891.

The spelling of 108506144 in words is "one hundred eight million, five hundred six thousand, one hundred forty-four".