108241920 has 308 divisors, whose sum is σ = 402726780. Its totient is φ = 27869184.

The previous prime is 108241883. The next prime is 108241921. The reversal of 108241920 is 29142801.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 60466176 = 6912^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108241921) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3732466 + ... + 3732494.

Almost surely, 2^108241920 is an apocalyptic number.

108241920 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 108241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201363390).

108241920 is an abundant number, since it is smaller than the sum of its proper divisors (294484860).

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

108241920 is an frugal number, since it uses more digits than its factorization.

108241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108241920 is about 10403.9377160765. The cubic root of 108241920 is about 476.5756282579.

The spelling of 108241920 in words is "one hundred eight million, two hundred forty-one thousand, nine hundred twenty".