108382820 has 192 divisors, whose sum is σ = 308883456. Its totient is φ = 30965760.

The previous prime is 108382801. The next prime is 108382829. The reversal of 108382820 is 28283801.

It is not an unprimeable number, because it can be changed into a prime (108382829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 959084 + ... + 959196.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^108382820 is an apocalyptic number.

108382820 is a gapful number since it is divisible by the number (10) 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 108382820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

108382820 is an abundant number, since it is smaller than the sum of its proper divisors (200500636).

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

108382820 is a wasteful number, since it uses less digits than its factorization.

108382820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 108382820 is about 10410.7069884807. The cubic root of 108382820 is about 476.7823269522.

The spelling of 108382820 in words is "one hundred eight million, three hundred eighty-two thousand, eight hundred twenty".