882134517105 has 12 divisors (see below), whose sum is σ = 1529033163060. Its totient is φ = 470471742432.

The previous prime is 882134517041. The next prime is 882134517109. The reversal of 882134517105 is 501715431288.

882134517105 is a `hidden beast` number, since 8 + 8 + 21 + 3 + 4 + 517 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 345923951409 + 536210565696 = 588153^2 + 732264^2 .

It is not a de Polignac number, because 882134517105 - 2⁶ = 882134517041 is a prime.

It is a super-2 number, since 2×882134517105² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 19602989269 = 882134517105 / (8 + 8 + 2 + 1 + 3 + 4 + 5 + 1 + 7 + 1 + 0 + 5).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (882134517109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9801494590 + ... + 9801494679.

It is an arithmetic number, because the mean of its divisors is an integer number (127419430255).

Almost surely, 2^882134517105 is an apocalyptic number.

It is an amenable number.

882134517105 is a deficient number, since it is larger than the sum of its proper divisors (646898645955).

882134517105 is a wasteful number, since it uses less digits than its factorization.

882134517105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19602989280 (or 19602989277 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 882134517105 in words is "eight hundred eighty-two billion, one hundred thirty-four million, five hundred seventeen thousand, one hundred five".