105010566510616 has 32 divisors (see below), whose sum is σ = 212041000407600. Its totient is φ = 48466316246400.

The previous prime is 105010566510599. The next prime is 105010566510617. The reversal of 105010566510616 is 616015665010501.

It is a super-2 number, since 2×105010566510616² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010566510617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82257591 + ... + 83524441.

Almost surely, 2^{105010566510616} is an apocalyptic number.

It is an amenable number.

105010566510616 is an abundant number, since it is smaller than the sum of its proper divisors (107030433896984).

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

105010566510616 is a wasteful number, since it uses less digits than its factorization.

105010566510616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063899 (or 2063895 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 105010566510616 in words is "one hundred five trillion, ten billion, five hundred sixty-six million, five hundred ten thousand, six hundred sixteen".