105242516353343 has 16 divisors (see below), whose sum is σ = 111607473051360. Its totient is φ = 98896960198656.

The previous prime is 105242516353307. The next prime is 105242516353367. The reversal of 105242516353343 is 343353615242501.

It is a cyclic number.

It is not a de Polignac number, because 105242516353343 - 2¹² = 105242516349247 is a prime.

It is a super-2 number, since 2×105242516353343² (a number of 29 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 (105242516353243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78608780 + ... + 79936382.

It is an arithmetic number, because the mean of its divisors is an integer number (6975467065710).

Almost surely, 2^{105242516353343} is an apocalyptic number.

105242516353343 is a deficient number, since it is larger than the sum of its proper divisors (6364956698017).

105242516353343 is a wasteful number, since it uses less digits than its factorization.

105242516353343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334906.

The product of its (nonzero) digits is 3888000, while the sum is 47.

The spelling of 105242516353343 in words is "one hundred five trillion, two hundred forty-two billion, five hundred sixteen million, three hundred fifty-three thousand, three hundred forty-three".