105600096 has 144 divisors (see below), whose sum is σ = 350532000. Its totient is φ = 30143232.

The previous prime is 105600083. The next prime is 105600097. The reversal of 105600096 is 690006501.

105600096 is a `hidden beast` number, since 10 + 560 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105600096² = 22302760550418432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105600097) 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 23 ways as a sum of consecutive naturals, for example, 98250 + ... + 99318.

It is an arithmetic number, because the mean of its divisors is an integer number (2434250).

Almost surely, 2^105600096 is an apocalyptic number.

105600096 is a gapful number since it is divisible by the number (16) 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 105600096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175266000).

105600096 is an abundant number, since it is smaller than the sum of its proper divisors (244931904).

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

105600096 is a wasteful number, since it uses less digits than its factorization.

105600096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105600096 is about 10276.1907339247. The cubic root of 105600096 is about 472.6664434192. Note that the first 3 decimals are identical.

Adding to 105600096 its reverse (690006501), we get a palindrome (795606597).

The spelling of 105600096 in words is "one hundred five million, six hundred thousand, ninety-six".