108886752 has 144 divisors (see below), whose sum is σ = 337559040. Its totient is φ = 33094656.

The previous prime is 108886747. The next prime is 108886781. The reversal of 108886752 is 257688801.

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

It is a super-2 number, since 2×108886752² = 23712649522219008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108886698 and 108886707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475374 + ... + 475602.

It is an arithmetic number, because the mean of its divisors is an integer number (2344160).

Almost surely, 2^108886752 is an apocalyptic number.

108886752 is a gapful number since it is divisible by the number (12) 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 108886752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779520).

108886752 is an abundant number, since it is smaller than the sum of its proper divisors (228672288).

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

108886752 is a wasteful number, since it uses less digits than its factorization.

108886752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 108886752 is about 10434.8815038792. The cubic root of 108886752 is about 477.5201267066.

The spelling of 108886752 in words is "one hundred eight million, eight hundred eighty-six thousand, seven hundred fifty-two".