108038016 has 128 divisors (see below), whose sum is σ = 326726400. Its totient is φ = 35126784.

The previous prime is 108038003. The next prime is 108038023. The reversal of 108038016 is 610830801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148245 + ... + 148971.

It is an arithmetic number, because the mean of its divisors is an integer number (2552550).

Almost surely, 2^108038016 is an apocalyptic number.

108038016 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 108038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163363200).

108038016 is an abundant number, since it is smaller than the sum of its proper divisors (218688384).

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

108038016 is an equidigital number, since it uses as much as digits as its factorization.

108038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108038016 is about 10394.1337301384. The cubic root of 108038016 is about 476.2761855526.

Adding to 108038016 its reverse (610830801), we get a palindrome (718868817).

The spelling of 108038016 in words is "one hundred eight million, thirty-eight thousand, sixteen".