105435353441 has 8 divisors (see below), whose sum is σ = 115367883168. Its totient is φ = 95560740000.

The previous prime is 105435353399. The next prime is 105435353453. The reversal of 105435353441 is 144353534501.

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

It is not a de Polignac number, because 105435353441 - 2²² = 105431159137 is a prime.

It is a super-2 number, since 2×105435353441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105435353395 and 105435353404.

It is not an unprimeable number, because it can be changed into a prime (105435353141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14475260 + ... + 14482541.

It is an arithmetic number, because the mean of its divisors is an integer number (14420985396).

Almost surely, 2^105435353441 is an apocalyptic number.

105435353441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105435353441 is a deficient number, since it is larger than the sum of its proper divisors (9932529727).

105435353441 is a wasteful number, since it uses less digits than its factorization.

105435353441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28958143.

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 105435353441 its reverse (144353534501), we get a palindrome (249788887942).

The spelling of 105435353441 in words is "one hundred five billion, four hundred thirty-five million, three hundred fifty-three thousand, four hundred forty-one".