105235513242 has 16 divisors (see below), whose sum is σ = 210763762560. Its totient is φ = 35029715072.

The previous prime is 105235513193. The next prime is 105235513247. The reversal of 105235513242 is 242315532501.

It is a super-2 number, since 2×105235513242² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105235513247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12192663 + ... + 12201290.

It is an arithmetic number, because the mean of its divisors is an integer number (13172735160).

Almost surely, 2^105235513242 is an apocalyptic number.

105235513242 is an abundant number, since it is smaller than the sum of its proper divisors (105528249318).

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

105235513242 is a wasteful number, since it uses less digits than its factorization.

105235513242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24394677.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 105235513242 in words is "one hundred five billion, two hundred thirty-five million, five hundred thirteen thousand, two hundred forty-two".