105105051060006 has 8 divisors (see below), whose sum is σ = 210210102120024. Its totient is φ = 35035017020000.

The previous prime is 105105051059923. The next prime is 105105051060019. The reversal of 105105051060006 is 600060150501501.

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

105105051060006 is an admirable number.

It is a super-2 number, since 2×105105051060006² (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 3 ways as a sum of consecutive naturals, for example, 8758754254995 + ... + 8758754255006.

It is an arithmetic number, because the mean of its divisors is an integer number (26276262765003).

Almost surely, 2^{105105051060006} is an apocalyptic number.

105105051060006 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.

105105051060006 is a wasteful number, since it uses less digits than its factorization.

105105051060006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17517508510006.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105105051060006 in words is "one hundred five trillion, one hundred five billion, fifty-one million, sixty thousand, six".