108956016 has 200 divisors, whose sum is σ = 352894080. Its totient is φ = 32223744.

The previous prime is 108955993. The next prime is 108956021. The reversal of 108956016 is 610659801.

108956016 is a `hidden beast` number, since 1 + 0 + 89 + 560 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 488481 + ... + 488703.

Almost surely, 2^108956016 is an apocalyptic number.

108956016 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 108956016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176447040).

108956016 is an abundant number, since it is smaller than the sum of its proper divisors (243938064).

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

108956016 is a wasteful number, since it uses less digits than its factorization.

108956016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 108956016 is about 10438.1998448008. The cubic root of 108956016 is about 477.6213570915.

The spelling of 108956016 in words is "one hundred eight million, nine hundred fifty-six thousand, sixteen".