108212832 has 144 divisors (see below), whose sum is σ = 378836640. Its totient is φ = 28532736.

The previous prime is 108212831. The next prime is 108212843. The reversal of 108212832 is 238212801.

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

It is a junction number, because it is equal to n+sod(n) for n = 108212796 and 108212805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108212831) 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, 24144 + ... + 28272.

It is an arithmetic number, because the mean of its divisors is an integer number (2630810).

Almost surely, 2^108212832 is an apocalyptic number.

108212832 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 108212832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189418320).

108212832 is an abundant number, since it is smaller than the sum of its proper divisors (270623808).

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

108212832 is a wasteful number, since it uses less digits than its factorization.

108212832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108212832 is about 10402.5396899027. The cubic root of 108212832 is about 476.5329341586.

The spelling of 108212832 in words is "one hundred eight million, two hundred twelve thousand, eight hundred thirty-two".