105061010005006 has 24 divisors (see below), whose sum is σ = 176009088760344. Its totient is φ = 46644423028560.

The previous prime is 105061010004961. The next prime is 105061010005057. The reversal of 105061010005006 is 600500010160501.

It is a super-2 number, since 2×105061010005006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 1291333161 + ... + 1291414516.

It is an arithmetic number, because the mean of its divisors is an integer number (7333712031681).

Almost surely, 2^{105061010005006} is an apocalyptic number.

105061010005006 is a deficient number, since it is larger than the sum of its proper divisors (70948078755338).

105061010005006 is a wasteful number, since it uses less digits than its factorization.

105061010005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582747776 (or 2582747733 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 105061010005006 its reverse (600500010160501), we get a palindrome (705561020165507).

The spelling of 105061010005006 in words is "one hundred five trillion, sixty-one billion, ten million, five thousand, six".