108946656 has 144 divisors (see below), whose sum is σ = 381405024. Its totient is φ = 28726272.

The previous prime is 108946639. The next prime is 108946657. The reversal of 108946656 is 656649801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108946657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24130 + ... + 28286.

It is an arithmetic number, because the mean of its divisors is an integer number (2648646).

Almost surely, 2^108946656 is an apocalyptic number.

108946656 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 108946656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190702512).

108946656 is an abundant number, since it is smaller than the sum of its proper divisors (272458368).

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

108946656 is a wasteful number, since it uses less digits than its factorization.

108946656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 108946656 is about 10437.7514820003. The cubic root of 108946656 is about 477.6076798172.

It can be divided in two parts, 1089 and 46656, that multiplied together give a square (50808384 = 7128²).

The spelling of 108946656 in words is "one hundred eight million, nine hundred forty-six thousand, six hundred fifty-six".