105235434344121 has 16 divisors (see below), whose sum is σ = 141385714367040. Its totient is φ = 69621060604160.

The previous prime is 105235434344101. The next prime is 105235434344123. The reversal of 105235434344121 is 121443434532501.

It is a cyclic number.

It is not a de Polignac number, because 105235434344121 - 2³⁰ = 105234360602297 is a prime.

It is a super-2 number, since 2×105235434344121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105235434344123) 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, 96415525 + ... + 97500893.

It is an arithmetic number, because the mean of its divisors is an integer number (8836607147940).

Almost surely, 2^{105235434344121} is an apocalyptic number.

It is an amenable number.

105235434344121 is a deficient number, since it is larger than the sum of its proper divisors (36150280022919).

105235434344121 is a wasteful number, since it uses less digits than its factorization.

105235434344121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332216.

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 105235434344121 its reverse (121443434532501), we get a palindrome (226678868876622).

The spelling of 105235434344121 in words is "one hundred five trillion, two hundred thirty-five billion, four hundred thirty-four million, three hundred forty-four thousand, one hundred twenty-one".