105005064024 has 192 divisors, whose sum is σ = 346128344640. Its totient is φ = 28073041920.

The previous prime is 105005063993. The next prime is 105005064029. The reversal of 105005064024 is 420460500501.

105005064024 is a `hidden beast` number, since 10 + 5 + 0 + 0 + 5 + 0 + 640 + 2 + 4 = 666.

It is a super-2 number, since 2×105005064024² (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 (105005064029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1446844 + ... + 1517684.

It is an arithmetic number, because the mean of its divisors is an integer number (1802751795).

Almost surely, 2^105005064024 is an apocalyptic number.

105005064024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105005064024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173064172320).

105005064024 is an abundant number, since it is smaller than the sum of its proper divisors (241123280616).

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

105005064024 is a wasteful number, since it uses less digits than its factorization.

105005064024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71050 (or 71043 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105005064024 its reverse (420460500501), we get a palindrome (525465564525).

The spelling of 105005064024 in words is "one hundred five billion, five million, sixty-four thousand, twenty-four".