108953424 has 70 divisors (see below), whose sum is σ = 316534986. Its totient is φ = 36313920.

The previous prime is 108953413. The next prime is 108953431. The reversal of 108953424 is 424359801.

It can be written as a sum of positive squares in only one way, i.e., 84272400 + 24681024 = 9180^2 + 4968^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6994 + ... + 16334.

Almost surely, 2^108953424 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 108953424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158267493).

108953424 is an abundant number, since it is smaller than the sum of its proper divisors (207581562).

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

108953424 is an frugal number, since it uses more digits than its factorization.

108953424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367 (or 9346 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 108953424 is about 10438.0756847227. The cubic root of 108953424 is about 477.6175696170.

The spelling of 108953424 in words is "one hundred eight million, nine hundred fifty-three thousand, four hundred twenty-four".