105488217121 has 8 divisors (see below), whose sum is σ = 121800828800. Its totient is φ = 89486322048.

The previous prime is 105488217091. The next prime is 105488217169. The reversal of 105488217121 is 121712884501.

It is a happy number.

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 105488217121 - 2¹³ = 105488208929 is a prime.

It is a super-2 number, since 2×105488217121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105488217521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77678421 + ... + 77679778.

It is an arithmetic number, because the mean of its divisors is an integer number (15225103600).

Almost surely, 2^105488217121 is an apocalyptic number.

It is an amenable number.

105488217121 is a deficient number, since it is larger than the sum of its proper divisors (16312611679).

105488217121 is an equidigital number, since it uses as much as digits as its factorization.

105488217121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155358303.

The product of its (nonzero) digits is 35840, while the sum is 40.

The spelling of 105488217121 in words is "one hundred five billion, four hundred eighty-eight million, two hundred seventeen thousand, one hundred twenty-one".