108509856 has 96 divisors (see below), whose sum is σ = 350598528. Its totient is φ = 28615680.

The previous prime is 108509813. The next prime is 108509857. The reversal of 108509856 is 658905801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (108509857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2526 + ... + 14946.

It is an arithmetic number, because the mean of its divisors is an integer number (3652068).

Almost surely, 2^108509856 is an apocalyptic number.

108509856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108509856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175299264).

108509856 is an abundant number, since it is smaller than the sum of its proper divisors (242088672).

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

108509856 is a wasteful number, since it uses less digits than its factorization.

108509856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454 (or 12446 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 108509856 is about 10416.8064203958. The cubic root of 108509856 is about 476.9685338033.

It can be divided in two parts, 10850 and 9856, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 108509856 in words is "one hundred eight million, five hundred nine thousand, eight hundred fifty-six".