105506083488 has 432 divisors, whose sum is σ = 317621551968. Its totient is φ = 30640896000.

The previous prime is 105506083481. The next prime is 105506083493. The reversal of 105506083488 is 884380605501.

It is a Cunningham number, because it is equal to 324817²-1.

It is a super-3 number, since 3×105506083488³ (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 (48).

It is not an unprimeable number, because it can be changed into a prime (105506083481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1044614638 + ... + 1044614738.

It is an arithmetic number, because the mean of its divisors is an integer number (735235074).

Almost surely, 2^105506083488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105506083488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158810775984).

105506083488 is an abundant number, since it is smaller than the sum of its proper divisors (212115468480).

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

105506083488 is a wasteful number, since it uses less digits than its factorization.

105506083488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

Adding to 105506083488 its reverse (884380605501), we get a palindrome (989886688989).

The spelling of 105506083488 in words is "one hundred five billion, five hundred six million, eighty-three thousand, four hundred eighty-eight".