105017444116642 has 8 divisors (see below), whose sum is σ = 157527298237932. Its totient is φ = 52508344704000.

The previous prime is 105017444116589. The next prime is 105017444116709. The reversal of 105017444116642 is 246611444710501.

It can be written as a sum of positive squares in 2 ways, for example, as 104974143084721 + 43301031921 = 10245689^2 + 208089^2 .

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

It is a super-2 number, since 2×105017444116642² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105017444116592 and 105017444116601.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188329159 + ... + 188885962.

Almost surely, 2^{105017444116642} is an apocalyptic number.

105017444116642 is a deficient number, since it is larger than the sum of its proper divisors (52509854121290).

105017444116642 is a wasteful number, since it uses less digits than its factorization.

105017444116642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377354324.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 105017444116642 in words is "one hundred five trillion, seventeen billion, four hundred forty-four million, one hundred sixteen thousand, six hundred forty-two".