108792144 has 60 divisors (see below), whose sum is σ = 314301312. Its totient is φ = 35092800.

The previous prime is 108792091. The next prime is 108792149. The reversal of 108792144 is 441297801.

It is a super-2 number, since 2×108792144² = 23671461192233472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108792099 and 108792108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108792149) 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 11 ways as a sum of consecutive naturals, for example, 7722 + ... + 16649.

Almost surely, 2^108792144 is an apocalyptic number.

It is an amenable number.

108792144 is an abundant number, since it is smaller than the sum of its proper divisors (205509168).

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

108792144 is a wasteful number, since it uses less digits than its factorization.

108792144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24416 (or 24407 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 108792144 is about 10430.3472617166. The cubic root of 108792144 is about 477.3817862934.

The spelling of 108792144 in words is "one hundred eight million, seven hundred ninety-two thousand, one hundred forty-four".