105435213442 has 16 divisors (see below), whose sum is σ = 173110529592. Its totient is φ = 47864661120.

The previous prime is 105435213349. The next prime is 105435213461. The reversal of 105435213442 is 244312534501.

105435213442 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 10404204001 + 95031009441 = 102001^2 + 308271^2 .

It is a super-2 number, since 2×105435213442² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105435213398 and 105435213407.

It is an unprimeable number.

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, 33237763 + ... + 33240934.

Almost surely, 2^105435213442 is an apocalyptic number.

105435213442 is a deficient number, since it is larger than the sum of its proper divisors (67675316150).

105435213442 is a wasteful number, since it uses less digits than its factorization.

105435213442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66478773.

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 105435213442 its reverse (244312534501), we get a palindrome (349747747943).

The spelling of 105435213442 in words is "one hundred five billion, four hundred thirty-five million, two hundred thirteen thousand, four hundred forty-two".