105222727410241 has 24 divisors (see below), whose sum is σ = 123091914604320. Its totient is φ = 89682563339712.

The previous prime is 105222727410223. The next prime is 105222727410289. The reversal of 105222727410241 is 142014727222501.

It is not a de Polignac number, because 105222727410241 - 2⁷ = 105222727410113 is a prime.

It is a super-2 number, since 2×105222727410241² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105222727410194 and 105222727410203.

It is not an unprimeable number, because it can be changed into a prime (105222727420241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181331421 + ... + 181910773.

It is an arithmetic number, because the mean of its divisors is an integer number (5128829775180).

Almost surely, 2^{105222727410241} is an apocalyptic number.

It is an amenable number.

105222727410241 is a deficient number, since it is larger than the sum of its proper divisors (17869187194079).

105222727410241 is a wasteful number, since it uses less digits than its factorization.

105222727410241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600253 (or 600246 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 105222727410241 in words is "one hundred five trillion, two hundred twenty-two billion, seven hundred twenty-seven million, four hundred ten thousand, two hundred forty-one".