105505106072 has 8 divisors (see below), whose sum is σ = 197822073900. Its totient is φ = 52752553032.

The previous prime is 105505106071. The next prime is 105505106093. The reversal of 105505106072 is 270601505501.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105505106072² (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 (105505106071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6594069122 + ... + 6594069137.

Almost surely, 2^105505106072 is an apocalyptic number.

It is an amenable number.

105505106072 is a deficient number, since it is larger than the sum of its proper divisors (92316967828).

105505106072 is a wasteful number, since it uses less digits than its factorization.

105505106072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188138265 (or 13188138261 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The spelling of 105505106072 in words is "one hundred five billion, five hundred five million, one hundred six thousand, seventy-two".