105205930 has 8 divisors (see below), whose sum is σ = 189370692. Its totient is φ = 42082368.

The previous prime is 105205913. The next prime is 105205937. The reversal of 105205930 is 39502501.

It can be written as a sum of positive squares in 2 ways, for example, as 95589729 + 9616201 = 9777^2 + 3101^2 .

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

It is a super-2 number, since 2×105205930² = 22136575414329800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105205895 and 105205904.

It is not an unprimeable number, because it can be changed into a prime (105205937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5260287 + ... + 5260306.

Almost surely, 2^105205930 is an apocalyptic number.

105205930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105205930 is a deficient number, since it is larger than the sum of its proper divisors (84164762).

105205930 is a wasteful number, since it uses less digits than its factorization.

105205930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520600.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 105205930 is about 10256.9941990819. The cubic root of 105205930 is about 472.0776139963.

The spelling of 105205930 in words is "one hundred five million, two hundred five thousand, nine hundred thirty".