105605075 has 12 divisors (see below), whose sum is σ = 136644528. Its totient is φ = 80810400.

The previous prime is 105605069. The next prime is 105605077. The reversal of 105605075 is 570506501.

It is not a de Polignac number, because 105605075 - 2⁶ = 105605011 is a prime.

It is a super-2 number, since 2×105605075² = 22304863731511250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105605077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91256 + ... + 92405.

It is an arithmetic number, because the mean of its divisors is an integer number (11387044).

Almost surely, 2^105605075 is an apocalyptic number.

105605075 is a deficient number, since it is larger than the sum of its proper divisors (31039453).

105605075 is a wasteful number, since it uses less digits than its factorization.

105605075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183694 (or 183689 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 105605075 is about 10276.4329900992. The cubic root of 105605075 is about 472.6738719769.

The spelling of 105605075 in words is "one hundred five million, six hundred five thousand, seventy-five".