108072144 has 50 divisors (see below), whose sum is σ = 312795890. Its totient is φ = 36023616.

The previous prime is 108072143. The next prime is 108072149. The reversal of 108072144 is 441270801.

It can be written as a sum of positive squares in only one way, i.e., 92390544 + 15681600 = 9612^2 + 3960^2 .

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 (108072143) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 40399 + ... + 42990.

Almost surely, 2^108072144 is an apocalyptic number.

It is an amenable number.

108072144 is an abundant number, since it is smaller than the sum of its proper divisors (204723746).

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

108072144 is an equidigital number, since it uses as much as digits as its factorization.

108072144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83409 (or 83394 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 108072144 is about 10395.7752957632. The cubic root of 108072144 is about 476.3263303783.

The spelling of 108072144 in words is "one hundred eight million, seventy-two thousand, one hundred forty-four".