105314323413501 has 48 divisors (see below), whose sum is σ = 159589276704000. Its totient is φ = 66836526691200.

The previous prime is 105314323413491. The next prime is 105314323413511.

105314323413501 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 143 + 2 + 3 + 4 + 1 + 3 + 501 = 666.

105314323413501 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (105314323413491) and next prime (105314323413511).

It is not a de Polignac number, because 105314323413501 - 2²⁵ = 105314289859069 is a prime.

It is a super-2 number, since 2×105314323413501² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105314323413511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2057631 + ... + 14658188.

It is an arithmetic number, because the mean of its divisors is an integer number (3324776598000).

Almost surely, 2^{105314323413501} is an apocalyptic number.

It is an amenable number.

105314323413501 is a deficient number, since it is larger than the sum of its proper divisors (54274953290499).

105314323413501 is a wasteful number, since it uses less digits than its factorization.

105314323413501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16716194 (or 16716191 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 105314323413501 in words is "one hundred five trillion, three hundred fourteen billion, three hundred twenty-three million, four hundred thirteen thousand, five hundred one".