105352533136416 has 24 divisors (see below), whose sum is σ = 276550399483344. Its totient is φ = 35117511045440.

The previous prime is 105352533136343. The next prime is 105352533136421. The reversal of 105352533136416 is 614631335253501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105352533136416² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548711109990 + ... + 548711110181.

It is an arithmetic number, because the mean of its divisors is an integer number (11522933311806).

Almost surely, 2^{105352533136416} is an apocalyptic number.

105352533136416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105352533136416 is an abundant number, since it is smaller than the sum of its proper divisors (171197866346928).

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

105352533136416 is a wasteful number, since it uses less digits than its factorization.

105352533136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097422220184 (or 1097422220176 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

Adding to 105352533136416 its reverse (614631335253501), we get a palindrome (719983868389917).

The spelling of 105352533136416 in words is "one hundred five trillion, three hundred fifty-two billion, five hundred thirty-three million, one hundred thirty-six thousand, four hundred sixteen".