105605120130120 has 256 divisors, whose sum is σ = 388341532051200. Its totient is φ = 25361079367680.

The previous prime is 105605120130073. The next prime is 105605120130137. The reversal of 105605120130120 is 21031021506501.

105605120130120 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 512 + 0 + 130 + 12 + 0 = 666.

105605120130120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105605120130120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91152802 + ... + 92304081.

It is an arithmetic number, because the mean of its divisors is an integer number (1516959109575).

Almost surely, 2^{105605120130120} is an apocalyptic number.

105605120130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105605120130120 is an abundant number, since it is smaller than the sum of its proper divisors (282736411921080).

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

105605120130120 is a wasteful number, since it uses less digits than its factorization.

105605120130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183456957 (or 183456947 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 105605120130120 its reverse (21031021506501), we get a palindrome (126636141636621).

The spelling of 105605120130120 in words is "one hundred five trillion, six hundred five billion, one hundred twenty million, one hundred thirty thousand, one hundred twenty".