105101055105006 has 16 divisors (see below), whose sum is σ = 219341332393344. Its totient is φ = 33510481337784.

The previous prime is 105101055104987. The next prime is 105101055105089. The reversal of 105101055105006 is 600501550101501.

105101055105006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105101055105006² (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 7 ways as a sum of consecutive naturals, for example, 380800924156 + ... + 380800924431.

It is an arithmetic number, because the mean of its divisors is an integer number (13708833274584).

Almost surely, 2^{105101055105006} is an apocalyptic number.

105101055105006 is an abundant number, since it is smaller than the sum of its proper divisors (114240277288338).

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

105101055105006 is a wasteful number, since it uses less digits than its factorization.

105101055105006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761601848615.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105101055105006 in words is "one hundred five trillion, one hundred one billion, fifty-five million, one hundred five thousand, six".