105135468516 has 81 divisors (see below), whose sum is σ = 287843890971. Its totient is φ = 32341593024.

The previous prime is 105135468443. The next prime is 105135468517. The reversal of 105135468516 is 615864531501.

It is a happy number.

The square root of 105135468516 is 324246.

It is a perfect power (a square), and thus also a powerful number.

105135468516 is a `hidden beast` number, since 1 + 0 + 5 + 13 + 546 + 85 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18699468516 + 86436000000 = 136746^2 + 294000^2 .

It is a super-4 number, since 4×105135468516⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is not an unprimeable number, because it can be changed into a prime (105135468517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25289110 + ... + 25293266.

Almost surely, 2^105135468516 is an apocalyptic number.

105135468516 is the 324246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105135468516

105135468516 is an abundant number, since it is smaller than the sum of its proper divisors (182708422455).

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

105135468516 is an equidigital number, since it uses as much as digits as its factorization.

105135468516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 105135468516 in words is "one hundred five billion, one hundred thirty-five million, four hundred sixty-eight thousand, five hundred sixteen".