105435325305 has 24 divisors (see below), whose sum is σ = 184528888128. Its totient is φ = 55686227616.

The previous prime is 105435325301. The next prime is 105435325313. The reversal of 105435325305 is 503523534501.

105435325305 is a `hidden beast` number, since 1 + 0 + 54 + 353 + 253 + 0 + 5 = 666.

It is not a de Polignac number, because 105435325305 - 2² = 105435325301 is a prime.

It is a super-2 number, since 2×105435325305² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105435325305.

It is not an unprimeable number, because it can be changed into a prime (105435325301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11369187 + ... + 11378456.

It is an arithmetic number, because the mean of its divisors is an integer number (7688703672).

Almost surely, 2^105435325305 is an apocalyptic number.

105435325305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105435325305 is a deficient number, since it is larger than the sum of its proper divisors (79093562823).

105435325305 is a wasteful number, since it uses less digits than its factorization.

105435325305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22747757 (or 22747754 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 105435325305 its reverse (503523534501), we get a palindrome (608958859806).

The spelling of 105435325305 in words is "one hundred five billion, four hundred thirty-five million, three hundred twenty-five thousand, three hundred five".