105101305 has 8 divisors (see below), whose sum is σ = 126646344. Its totient is φ = 83731200.

The previous prime is 105101299. The next prime is 105101309. The reversal of 105101305 is 503101501.

It can be written as a sum of positive squares in 4 ways, for example, as 53993104 + 51108201 = 7348^2 + 7149^2 .

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

It is not a de Polignac number, because 105101305 - 2¹¹ = 105099257 is a prime.

It is a super-2 number, since 2×105101305² = 22092568625406050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105101309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42406 + ... + 44815.

It is an arithmetic number, because the mean of its divisors is an integer number (15830793).

Almost surely, 2^105101305 is an apocalyptic number.

It is an amenable number.

105101305 is a deficient number, since it is larger than the sum of its proper divisors (21545039).

105101305 is an equidigital number, since it uses as much as digits as its factorization.

105101305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87467.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 105101305 is about 10251.8927520727. The cubic root of 105101305 is about 471.9210717994.

Adding to 105101305 its reverse (503101501), we get a palindrome (608202806).

The spelling of 105101305 in words is "one hundred five million, one hundred one thousand, three hundred five".