108405248 has 120 divisors (see below), whose sum is σ = 262399500. Its totient is φ = 44556288.

The previous prime is 108405247. The next prime is 108405257. The reversal of 108405248 is 842504801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 103876864 + 4528384 = 10192^2 + 2128^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (108405247) 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, 727478 + ... + 727626.

Almost surely, 2^108405248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131199750).

108405248 is an abundant number, since it is smaller than the sum of its proper divisors (153994252).

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

108405248 is an equidigital number, since it uses as much as digits as its factorization.

108405248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 108405248 is about 10411.7840930361. The cubic root of 108405248 is about 476.8152120426.

The spelling of 108405248 in words is "one hundred eight million, four hundred five thousand, two hundred forty-eight".