105200320 has 56 divisors (see below), whose sum is σ = 251386848. Its totient is φ = 41932800.

The previous prime is 105200309. The next prime is 105200327. The reversal of 105200320 is 23002501.

It is a super-2 number, since 2×105200320² = 22134214656204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105200320.

It is not an unprimeable number, because it can be changed into a prime (105200327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166405 + ... + 167035.

Almost surely, 2^105200320 is an apocalyptic number.

105200320 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 105200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125693424).

105200320 is an abundant number, since it is smaller than the sum of its proper divisors (146186528).

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

105200320 is an equidigital number, since it uses as much as digits as its factorization.

105200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 105200320 is about 10256.7207235061. The cubic root of 105200320 is about 472.0692228264.

Adding to 105200320 its reverse (23002501), we get a palindrome (128202821).

The spelling of 105200320 in words is "one hundred five million, two hundred thousand, three hundred twenty".