108361638 has 240 divisors, whose sum is σ = 330724944. Its totient is φ = 26127360.

The previous prime is 108361633. The next prime is 108361667. The reversal of 108361638 is 836163801.

108361638 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 616 + 38 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108361633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1484370 + ... + 1484442.

Almost surely, 2^108361638 is an apocalyptic number.

108361638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108361638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165362472).

108361638 is an abundant number, since it is smaller than the sum of its proper divisors (222363306).

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

108361638 is a wasteful number, since it uses less digits than its factorization.

108361638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 108361638 is about 10409.6896207332. The cubic root of 108361638 is about 476.7512646453.

The spelling of 108361638 in words is "one hundred eight million, three hundred sixty-one thousand, six hundred thirty-eight".