105720160 has 192 divisors, whose sum is σ = 315487872. Its totient is φ = 32587776.

The previous prime is 105720157. The next prime is 105720169. The reversal of 105720160 is 61027501.

It is a super-2 number, since 2×105720160² = 22353504460851200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105720169) 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 31 ways as a sum of consecutive naturals, for example, 771612 + ... + 771748.

It is an arithmetic number, because the mean of its divisors is an integer number (1643166).

Almost surely, 2^105720160 is an apocalyptic number.

105720160 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 105720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157743936).

105720160 is an abundant number, since it is smaller than the sum of its proper divisors (209767712).

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

105720160 is a wasteful number, since it uses less digits than its factorization.

105720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 105720160 is about 10282.0309277885. The cubic root of 105720160 is about 472.8455112163.

Adding to 105720160 its reverse (61027501), we get a palindrome (166747661).

The spelling of 105720160 in words is "one hundred five million, seven hundred twenty thousand, one hundred sixty".