105540202242 has 48 divisors (see below), whose sum is σ = 229255561080. Its totient is φ = 35090136576.

The previous prime is 105540202217. The next prime is 105540202249. The reversal of 105540202242 is 242202045501.

105540202242 is a `hidden beast` number, since 10 + 5 + 5 + 402 + 0 + 2 + 242 = 666.

105540202242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101186973801 + 4353228441 = 318099^2 + 65979^2 .

It is a super-2 number, since 2×105540202242² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105540202249) 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, 27823098 + ... + 27826890.

Almost surely, 2^105540202242 is an apocalyptic number.

105540202242 is an abundant number, since it is smaller than the sum of its proper divisors (123715358838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105540202242 is a wasteful number, since it uses less digits than its factorization.

105540202242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 105540202242 its reverse (242202045501), we get a palindrome (347742247743).

The spelling of 105540202242 in words is "one hundred five billion, five hundred forty million, two hundred two thousand, two hundred forty-two".