105100110006 has 8 divisors (see below), whose sum is σ = 210200220024. Its totient is φ = 35033370000.

The previous prime is 105100110001. The next prime is 105100110019. The reversal of 105100110006 is 600011001501.

105100110006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

105100110006 is an admirable number.

It is a super-2 number, since 2×105100110006² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100110001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8758342495 + ... + 8758342506.

It is an arithmetic number, because the mean of its divisors is an integer number (26275027503).

Almost surely, 2^105100110006 is an apocalyptic number.

105100110006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105100110006 is a wasteful number, since it uses less digits than its factorization.

105100110006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17516685006.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 105100110006 its reverse (600011001501), we get a palindrome (705111111507).

The spelling of 105100110006 in words is "one hundred five billion, one hundred million, one hundred ten thousand, six".