105222727410242 has 24 divisors (see below), whose sum is σ = 176802521996340. Its totient is φ = 46889703456960.

The previous prime is 105222727410223. The next prime is 105222727410289. The reversal of 105222727410242 is 242014727222501.

It can be written as a sum of positive squares in 6 ways, for example, as 12493319398921 + 92729408011321 = 3534589^2 + 9629611^2 .

It is a super-2 number, since 2×105222727410242² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105222727410242.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5367401309 + ... + 5367420912.

Almost surely, 2^{105222727410242} is an apocalyptic number.

105222727410242 is a deficient number, since it is larger than the sum of its proper divisors (71579794586098).

105222727410242 is a wasteful number, since it uses less digits than its factorization.

105222727410242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734822278 (or 10734822265 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 41.

The spelling of 105222727410242 in words is "one hundred five trillion, two hundred twenty-two billion, seven hundred twenty-seven million, four hundred ten thousand, two hundred forty-two".