105100061105 has 16 divisors (see below), whose sum is σ = 136465339584. Its totient is φ = 77244511680.

The previous prime is 105100061089. The next prime is 105100061117. The reversal of 105100061105 is 501160001501.

It is not a de Polignac number, because 105100061105 - 2⁴ = 105100061089 is a prime.

It is a super-2 number, since 2×105100061105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3817859 + ... + 3845288.

It is an arithmetic number, because the mean of its divisors is an integer number (8529083724).

Almost surely, 2^105100061105 is an apocalyptic number.

It is an amenable number.

105100061105 is a deficient number, since it is larger than the sum of its proper divisors (31365278479).

105100061105 is a wasteful number, since it uses less digits than its factorization.

105100061105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663376.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 105100061105 its reverse (501160001501), we get a palindrome (606260062606).

The spelling of 105100061105 in words is "one hundred five billion, one hundred million, sixty-one thousand, one hundred five".