105657220217 has 8 divisors (see below), whose sum is σ = 111913363872. Its totient is φ = 99405633600.

The previous prime is 105657220181. The next prime is 105657220247. The reversal of 105657220217 is 712022756501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105657220217 - 2¹⁰ = 105657219193 is a prime.

It is a super-2 number, since 2×105657220217² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105657220247) 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 7 ways as a sum of consecutive naturals, for example, 1091459 + ... + 1184312.

It is an arithmetic number, because the mean of its divisors is an integer number (13989170484).

Almost surely, 2^105657220217 is an apocalyptic number.

105657220217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105657220217 is a deficient number, since it is larger than the sum of its proper divisors (6256143655).

105657220217 is a wasteful number, since it uses less digits than its factorization.

105657220217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278519.

The product of its (nonzero) digits is 58800, while the sum is 38.

Adding to 105657220217 its reverse (712022756501), we get a palindrome (817679976718).

The spelling of 105657220217 in words is "one hundred five billion, six hundred fifty-seven million, two hundred twenty thousand, two hundred seventeen".