105613322418 has 54 divisors (see below), whose sum is σ = 237701688861. Its totient is φ = 35192031768.

The previous prime is 105613322389. The next prime is 105613322473. The reversal of 105613322418 is 814223316501.

105613322418 is a `hidden beast` number, since 1 + 0 + 5 + 613 + 3 + 2 + 24 + 18 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72013332609 + 33599989809 = 268353^2 + 183303^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229797.

It is a super-2 number, since 2×105613322418² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37225696 + ... + 37228532.

Almost surely, 2^105613322418 is an apocalyptic number.

105613322418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105613322418

105613322418 is an abundant number, since it is smaller than the sum of its proper divisors (132088366443).

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

105613322418 is an frugal number, since it uses more digits than its factorization.

105613322418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 105613322418 its reverse (814223316501), we get a palindrome (919836638919).

The spelling of 105613322418 in words is "one hundred five billion, six hundred thirteen million, three hundred twenty-two thousand, four hundred eighteen".