105500221335 has 64 divisors (see below), whose sum is σ = 195937781760. Its totient is φ = 53757918720.

The previous prime is 105500221291. The next prime is 105500221369. The reversal of 105500221335 is 533122005501.

It is a happy number.

105500221335 is a `hidden beast` number, since 1 + 0 + 5 + 500 + 22 + 133 + 5 = 666.

It is not a de Polignac number, because 105500221335 - 2⁶ = 105500221271 is a prime.

It is a super-2 number, since 2×105500221335² (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 a junction number, because it is equal to n+sod(n) for n = 105500221299 and 105500221308.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2716222 + ... + 2754788.

It is an arithmetic number, because the mean of its divisors is an integer number (3061527840).

Almost surely, 2^105500221335 is an apocalyptic number.

105500221335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105500221335 is a deficient number, since it is larger than the sum of its proper divisors (90437560425).

105500221335 is a wasteful number, since it uses less digits than its factorization.

105500221335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39485 (or 39479 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 105500221335 its reverse (533122005501), we get a palindrome (638622226836).

The spelling of 105500221335 in words is "one hundred five billion, five hundred million, two hundred twenty-one thousand, three hundred thirty-five".