105530120163 has 32 divisors (see below), whose sum is σ = 172282682880. Its totient is φ = 63431333280.

The previous prime is 105530120147. The next prime is 105530120183. The reversal of 105530120163 is 361021035501.

105530120163 is a `hidden beast` number, since 1 + 0 + 5 + 530 + 120 + 1 + 6 + 3 = 666.

It is not a de Polignac number, because 105530120163 - 2⁴ = 105530120147 is a prime.

It is a super-2 number, since 2×105530120163² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105530120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3480903 + ... + 3511088.

It is an arithmetic number, because the mean of its divisors is an integer number (5383833840).

Almost surely, 2^105530120163 is an apocalyptic number.

105530120163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105530120163 is a deficient number, since it is larger than the sum of its proper divisors (66752562717).

105530120163 is a wasteful number, since it uses less digits than its factorization.

105530120163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992056 (or 6992050 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 105530120163 its reverse (361021035501), we get a palindrome (466551155664).

The spelling of 105530120163 in words is "one hundred five billion, five hundred thirty million, one hundred twenty thousand, one hundred sixty-three".