108213360 has 120 divisors (see below), whose sum is σ = 354330000. Its totient is φ = 27316224.

The previous prime is 108213337. The next prime is 108213361. The reversal of 108213360 is 63312801.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 108213360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108213361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86016 + ... + 87264.

It is an arithmetic number, because the mean of its divisors is an integer number (2952750).

Almost surely, 2^108213360 is an apocalyptic number.

108213360 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 108213360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177165000).

108213360 is an abundant number, since it is smaller than the sum of its proper divisors (246116640).

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

108213360 is a wasteful number, since it uses less digits than its factorization.

108213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 108213360 is about 10402.5650682896. The cubic root of 108213360 is about 476.5337092022.

The spelling of 108213360 in words is "one hundred eight million, two hundred thirteen thousand, three hundred sixty".