108117072 has 80 divisors (see below), whose sum is σ = 354679680. Its totient is φ = 30889728.

The previous prime is 108117047. The next prime is 108117091. The reversal of 108117072 is 270711801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14853 + ... + 20900.

It is an arithmetic number, because the mean of its divisors is an integer number (4433496).

Almost surely, 2^108117072 is an apocalyptic number.

108117072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108117072 is an abundant number, since it is smaller than the sum of its proper divisors (246562608).

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

108117072 is a wasteful number, since it uses less digits than its factorization.

108117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35777 (or 35765 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 108117072 is about 10397.9359490237. The cubic root of 108117072 is about 476.3923277257.

Adding to 108117072 its reverse (270711801), we get a palindrome (378828873).

The spelling of 108117072 in words is "one hundred eight million, one hundred seventeen thousand, seventy-two".