105208320 has 320 divisors, whose sum is σ = 408545280. Its totient is φ = 22560768.

The previous prime is 105208319. The next prime is 105208331. The reversal of 105208320 is 23802501.

105208320 = 1005² + 1006² + ... + 1099².

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105208320² = 22137581194444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021389 + ... + 1021491.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^105208320 is an apocalyptic number.

105208320 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 105208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272640).

105208320 is an abundant number, since it is smaller than the sum of its proper divisors (303336960).

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

105208320 is a wasteful number, since it uses less digits than its factorization.

105208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105208320 is about 10257.1107042871. The cubic root of 105208320 is about 472.0811887534.

The spelling of 105208320 in words is "one hundred five million, two hundred eight thousand, three hundred twenty".