108076416 has 128 divisors (see below), whose sum is σ = 338933760. Its totient is φ = 29859840.

The previous prime is 108076411. The next prime is 108076421. The reversal of 108076416 is 614670801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108076411) and next prime (108076421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108076411) 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 15 ways as a sum of consecutive naturals, for example, 82680 + ... + 83976.

It is an arithmetic number, because the mean of its divisors is an integer number (2647920).

Almost surely, 2^108076416 is an apocalyptic number.

108076416 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 108076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169466880).

108076416 is an abundant number, since it is smaller than the sum of its proper divisors (230857344).

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

108076416 is a wasteful number, since it uses less digits than its factorization.

108076416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 108076416 is about 10395.9807618137. The cubic root of 108076416 is about 476.3326065539.

The spelling of 108076416 in words is "one hundred eight million, seventy-six thousand, four hundred sixteen".