105142316533 has 8 divisors (see below), whose sum is σ = 111429033048. Its totient is φ = 98866919424.

The previous prime is 105142316507. The next prime is 105142316551. The reversal of 105142316533 is 335613241501.

It can be written as a sum of positive squares in 4 ways, for example, as 93170236644 + 11972079889 = 305238^2 + 109417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105142316533 - 2⁵ = 105142316501 is a prime.

It is a super-2 number, since 2×105142316533² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105142316833) 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 7 ways as a sum of consecutive naturals, for example, 2810716 + ... + 2847877.

It is an arithmetic number, because the mean of its divisors is an integer number (13928629131).

Almost surely, 2^105142316533 is an apocalyptic number.

It is an amenable number.

105142316533 is a deficient number, since it is larger than the sum of its proper divisors (6286716515).

105142316533 is a wasteful number, since it uses less digits than its factorization.

105142316533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659703.

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 105142316533 in words is "one hundred five billion, one hundred forty-two million, three hundred sixteen thousand, five hundred thirty-three".