108087408 has 240 divisors, whose sum is σ = 369663840. Its totient is φ = 29030400.

The previous prime is 108087403. The next prime is 108087433. The reversal of 108087408 is 804780801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108087401) 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 47 ways as a sum of consecutive naturals, for example, 597078 + ... + 597258.

It is an arithmetic number, because the mean of its divisors is an integer number (1540266).

Almost surely, 2^108087408 is an apocalyptic number.

108087408 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 108087408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184831920).

108087408 is an abundant number, since it is smaller than the sum of its proper divisors (261576432).

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

108087408 is a wasteful number, since it uses less digits than its factorization.

108087408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 108087408 is about 10396.5094142217. The cubic root of 108087408 is about 476.3487546052.

It can be divided in two parts, 1080 and 87408, that added together give a palindrome (88488).

The spelling of 108087408 in words is "one hundred eight million, eighty-seven thousand, four hundred eight".