108436382208 has 1050 divisors, whose sum is σ = 416543676087. Its totient is φ = 28165294080.

The previous prime is 108436382167. The next prime is 108436382227. The reversal of 108436382208 is 802283634801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

108436382208 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 3 + 638 + 2 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54218191104 + 54218191104 = 232848^2 + 232848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=232848.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 9857852923 + ... + 9857852933.

Almost surely, 2^108436382208 is an apocalyptic number.

108436382208 is a gapful number since it is divisible by the number (18) 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 108436382208

108436382208 is an abundant number, since it is smaller than the sum of its proper divisors (308107293879).

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

108436382208 is an frugal number, since it uses more digits than its factorization.

108436382208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 108436382208 in words is "one hundred eight billion, four hundred thirty-six million, three hundred eighty-two thousand, two hundred eight".