105401006305 has 12 divisors (see below), whose sum is σ = 147131200980. Its totient is φ = 72274975584.

The previous prime is 105401006303. The next prime is 105401006317. The reversal of 105401006305 is 503600104501.

It can be written as a sum of positive squares in 2 ways, for example, as 61512432289 + 43888574016 = 248017^2 + 209496^2 .

It is not a de Polignac number, because 105401006305 - 2¹ = 105401006303 is a prime.

It is a super-2 number, since 2×105401006305² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105401006305.

It is not an unprimeable number, because it can be changed into a prime (105401006303) 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 11 ways as a sum of consecutive naturals, for example, 215103850 + ... + 215104339.

It is an arithmetic number, because the mean of its divisors is an integer number (12260933415).

Almost surely, 2^105401006305 is an apocalyptic number.

It is an amenable number.

105401006305 is a deficient number, since it is larger than the sum of its proper divisors (41730194675).

105401006305 is an equidigital number, since it uses as much as digits as its factorization.

105401006305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430208208 (or 430208201 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 105401006305 in words is "one hundred five billion, four hundred one million, six thousand, three hundred five".