105580503282 has 16 divisors (see below), whose sum is σ = 214135106112. Its totient is φ = 34697817840.

The previous prime is 105580503257. The next prime is 105580503283. The reversal of 105580503282 is 282305085501.

It is a super-2 number, since 2×105580503282² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105580503282.

It is not an unprimeable number, because it can be changed into a prime (105580503283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123920353 + ... + 123921204.

It is an arithmetic number, because the mean of its divisors is an integer number (13383444132).

Almost surely, 2^105580503282 is an apocalyptic number.

105580503282 is an abundant number, since it is smaller than the sum of its proper divisors (108554602830).

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

105580503282 is a wasteful number, since it uses less digits than its factorization.

105580503282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247841633.

The product of its (nonzero) digits is 96000, while the sum is 39.

Adding to 105580503282 its reverse (282305085501), we get a palindrome (387885588783).

The spelling of 105580503282 in words is "one hundred five billion, five hundred eighty million, five hundred three thousand, two hundred eighty-two".