105607305 has 12 divisors (see below), whose sum is σ = 183052740. Its totient is φ = 56323872.

The previous prime is 105607303. The next prime is 105607321. The reversal of 105607305 is 503706501.

It can be written as a sum of positive squares in 2 ways, for example, as 80084601 + 25522704 = 8949^2 + 5052^2 .

It is not a de Polignac number, because 105607305 - 2¹ = 105607303 is a prime.

It is a super-2 number, since 2×105607305² = 22305805738726050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105607303) 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, 1173370 + ... + 1173459.

It is an arithmetic number, because the mean of its divisors is an integer number (15254395).

Almost surely, 2^105607305 is an apocalyptic number.

105607305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105607305 is a deficient number, since it is larger than the sum of its proper divisors (77445435).

105607305 is a wasteful number, since it uses less digits than its factorization.

105607305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346840 (or 2346837 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 105607305 is about 10276.5414902096. The cubic root of 105607305 is about 472.6771990118.

The spelling of 105607305 in words is "one hundred five million, six hundred seven thousand, three hundred five".