105080535 has 24 divisors (see below), whose sum is σ = 208160160. Its totient is φ = 48036672.

The previous prime is 105080531. The next prime is 105080561. The reversal of 105080535 is 535080501.

105080535 is a `hidden beast` number, since 1 + 0 + 50 + 80 + 535 = 666.

It is not a de Polignac number, because 105080535 - 2² = 105080531 is a prime.

It is a super-2 number, since 2×105080535² = 22083837671772450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105080499 and 105080508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105080531) 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, 166480 + ... + 167109.

It is an arithmetic number, because the mean of its divisors is an integer number (8673340).

Almost surely, 2^105080535 is an apocalyptic number.

105080535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105080535 is a deficient number, since it is larger than the sum of its proper divisors (103079625).

105080535 is a wasteful number, since it uses less digits than its factorization.

105080535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333607 (or 333604 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105080535 is about 10250.8797183461. The cubic root of 105080535 is about 471.8899829168.

The spelling of 105080535 in words is "one hundred five million, eighty thousand, five hundred thirty-five".