105133543313415 has 16 divisors (see below), whose sum is σ = 168838998933600. Its totient is φ = 55862779889792.

The previous prime is 105133543313389. The next prime is 105133543313417. The reversal of 105133543313415 is 514313345331501.

It is a cyclic number.

It is not a de Polignac number, because 105133543313415 - 2⁸ = 105133543313159 is a prime.

It is a super-2 number, since 2×105133543313415² (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 (105133543313417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13027696500 + ... + 13027704569.

It is an arithmetic number, because the mean of its divisors is an integer number (10552437433350).

Almost surely, 2^{105133543313415} is an apocalyptic number.

105133543313415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105133543313415 is a deficient number, since it is larger than the sum of its proper divisors (63705455620185).

105133543313415 is a wasteful number, since it uses less digits than its factorization.

105133543313415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26055401346.

The product of its (nonzero) digits is 486000, while the sum is 42.

Adding to 105133543313415 its reverse (514313345331501), we get a palindrome (619446888644916).

The spelling of 105133543313415 in words is "one hundred five trillion, one hundred thirty-three billion, five hundred forty-three million, three hundred thirteen thousand, four hundred fifteen".