105061110511105 has 16 divisors (see below), whose sum is σ = 147024294595200. Its totient is φ = 72041904349296.

The previous prime is 105061110511073. The next prime is 105061110511171. The reversal of 105061110511105 is 501115011160501.

It is not a de Polignac number, because 105061110511105 - 2⁵ = 105061110511073 is a prime.

It is a super-2 number, since 2×105061110511105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30630059659 + ... + 30630063088.

It is an arithmetic number, because the mean of its divisors is an integer number (9189018412200).

Almost surely, 2^{105061110511105} is an apocalyptic number.

It is an amenable number.

105061110511105 is a deficient number, since it is larger than the sum of its proper divisors (41963184084095).

105061110511105 is an frugal number, since it uses more digits than its factorization.

105061110511105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61260122773 (or 61260122759 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 28.

Adding to 105061110511105 its reverse (501115011160501), we get a palindrome (606176121671606).

The spelling of 105061110511105 in words is "one hundred five trillion, sixty-one billion, one hundred ten million, five hundred eleven thousand, one hundred five".