108413136 has 120 divisors (see below), whose sum is σ = 338181480. Its totient is φ = 32191488.

The previous prime is 108413119. The next prime is 108413141. The reversal of 108413136 is 631314801.

It can be written as a sum of positive squares in 4 ways, for example, as 1166400 + 107246736 = 1080^2 + 10356^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53290 + ... + 55286.

It is an arithmetic number, because the mean of its divisors is an integer number (2818179).

Almost surely, 2^108413136 is an apocalyptic number.

108413136 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 108413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169090740).

108413136 is an abundant number, since it is smaller than the sum of its proper divisors (229768344).

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

108413136 is a wasteful number, since it uses less digits than its factorization.

108413136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 108413136 is about 10412.1628877001. The cubic root of 108413136 is about 476.8267767569.

Adding to 108413136 its reverse (631314801), we get a palindrome (739727937).

The spelling of 108413136 in words is "one hundred eight million, four hundred thirteen thousand, one hundred thirty-six".