105505010055006 has 32 divisors (see below), whose sum is σ = 211957849104768. Its totient is φ = 35010391896480.

The previous prime is 105505010054933. The next prime is 105505010055073. The reversal of 105505010055006 is 600550010505501.

It is a super-2 number, since 2×105505010055006² (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 15 ways as a sum of consecutive naturals, for example, 12494901 + ... + 19160703.

It is an arithmetic number, because the mean of its divisors is an integer number (6623682784524).

Almost surely, 2^{105505010055006} is an apocalyptic number.

105505010055006 is an abundant number, since it is smaller than the sum of its proper divisors (106452839049762).

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

105505010055006 is a wasteful number, since it uses less digits than its factorization.

105505010055006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677656.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105505010055006 in words is "one hundred five trillion, five hundred five billion, ten million, fifty-five thousand, six".