105506051013 has 16 divisors (see below), whose sum is σ = 170514830400. Its totient is φ = 63943061040.

The previous prime is 105506051011. The next prime is 105506051029. The reversal of 105506051013 is 310150605501.

105506051013 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 605 + 1 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 105506051013 - 2¹ = 105506051011 is a prime.

It is a super-3 number, since 3×105506051013³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105506051011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177619318 + ... + 177619911.

It is an arithmetic number, because the mean of its divisors is an integer number (10657176900).

Almost surely, 2^105506051013 is an apocalyptic number.

It is an amenable number.

105506051013 is a deficient number, since it is larger than the sum of its proper divisors (65008779387).

105506051013 is a wasteful number, since it uses less digits than its factorization.

105506051013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355239249 (or 355239243 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 105506051013 its reverse (310150605501), we get a palindrome (415656656514).

The spelling of 105506051013 in words is "one hundred five billion, five hundred six million, fifty-one thousand, thirteen".