105752721217 has 8 divisors (see below), whose sum is σ = 124240959360. Its totient is φ = 88743542160.

The previous prime is 105752721209. The next prime is 105752721227. The reversal of 105752721217 is 712127257501.

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

It is not a de Polignac number, because 105752721217 - 2³ = 105752721209 is a prime.

It is a super-2 number, since 2×105752721217² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105752721217.

It is not an unprimeable number, because it can be changed into a prime (105752721227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369764617 + ... + 369764902.

It is an arithmetic number, because the mean of its divisors is an integer number (15530119920).

Almost surely, 2^105752721217 is an apocalyptic number.

It is an amenable number.

105752721217 is a deficient number, since it is larger than the sum of its proper divisors (18488238143).

105752721217 is a wasteful number, since it uses less digits than its factorization.

105752721217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739529543.

The product of its (nonzero) digits is 68600, while the sum is 40.

Adding to 105752721217 its reverse (712127257501), we get a palindrome (817879978718).

The spelling of 105752721217 in words is "one hundred five billion, seven hundred fifty-two million, seven hundred twenty-one thousand, two hundred seventeen".