105341344120415 has 16 divisors (see below), whose sum is σ = 136134609221856. Its totient is φ = 77789856816000.

The previous prime is 105341344120403. The next prime is 105341344120427. The reversal of 105341344120415 is 514021443143501.

It is an interprime number because it is at equal distance from previous prime (105341344120403) and next prime (105341344120427).

It is not a de Polignac number, because 105341344120415 - 2⁶ = 105341344120351 is a prime.

It is a super-2 number, since 2×105341344120415² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597140 + ... + 14527190.

It is an arithmetic number, because the mean of its divisors is an integer number (8508413076366).

Almost surely, 2^{105341344120415} is an apocalyptic number.

105341344120415 is a deficient number, since it is larger than the sum of its proper divisors (30793265101441).

105341344120415 is a wasteful number, since it uses less digits than its factorization.

105341344120415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14046410.

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 105341344120415 its reverse (514021443143501), we get a palindrome (619362787263916).

The spelling of 105341344120415 in words is "one hundred five trillion, three hundred forty-one billion, three hundred forty-four million, one hundred twenty thousand, four hundred fifteen".