105235513243 has 16 divisors (see below), whose sum is σ = 120785285376. Its totient is φ = 89814996000.

The previous prime is 105235513193. The next prime is 105235513247. The reversal of 105235513243 is 342315532501.

It is a cyclic number.

It is not a de Polignac number, because 105235513243 - 2¹⁷ = 105235382171 is a prime.

It is a super-2 number, since 2×105235513243² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105235513199 and 105235513208.

It is not an unprimeable number, because it can be changed into a prime (105235513247) 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, 7465480 + ... + 7479562.

It is an arithmetic number, because the mean of its divisors is an integer number (7549080336).

Almost surely, 2^105235513243 is an apocalyptic number.

105235513243 is a deficient number, since it is larger than the sum of its proper divisors (15549772133).

105235513243 is a wasteful number, since it uses less digits than its factorization.

105235513243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18594.

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 105235513243 in words is "one hundred five billion, two hundred thirty-five million, five hundred thirteen thousand, two hundred forty-three".