108896256 has 168 divisors, whose sum is σ = 361212384. Its totient is φ = 30965760.

The previous prime is 108896243. The next prime is 108896269. The reversal of 108896256 is 652698801.

108896256 is a `hidden beast` number, since 10 + 8 + 8 + 9 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (108896243) and next prime (108896269).

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515991 + ... + 516201.

Almost surely, 2^108896256 is an apocalyptic number.

108896256 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 108896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180606192).

108896256 is an abundant number, since it is smaller than the sum of its proper divisors (252316128).

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

108896256 is an equidigital number, since it uses as much as digits as its factorization.

108896256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 108896256 is about 10435.3368896265. The cubic root of 108896256 is about 477.5340194872.

It can be divided in two parts, 1088 and 96256, that added together give a square (97344 = 312²).

The spelling of 108896256 in words is "one hundred eight million, eight hundred ninety-six thousand, two hundred fifty-six".