108211968 has 108 divisors (see below), whose sum is σ = 317110248. Its totient is φ = 35481600.

The previous prime is 108211967. The next prime is 108211991. The reversal of 108211968 is 869112801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108211967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154018 + ... + 154718.

It is an arithmetic number, because the mean of its divisors is an integer number (2936206).

Almost surely, 2^108211968 is an apocalyptic number.

108211968 is a gapful number since it is divisible by the number (18) 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 108211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158555124).

108211968 is an abundant number, since it is smaller than the sum of its proper divisors (208898280).

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

108211968 is an equidigital number, since it uses as much as digits as its factorization.

108211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 108211968 is about 10402.4981614995. The cubic root of 108211968 is about 476.5316659001.

The spelling of 108211968 in words is "one hundred eight million, two hundred eleven thousand, nine hundred sixty-eight".