105341344120416 has 48 divisors (see below), whose sum is σ = 277498134494784. Its totient is φ = 34989704398464.

The previous prime is 105341344120403. The next prime is 105341344120427. The reversal of 105341344120416 is 614021443143501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105341344120416² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1938675426 + ... + 1938729761.

It is an arithmetic number, because the mean of its divisors is an integer number (5781211135308).

Almost surely, 2^{105341344120416} is an apocalyptic number.

105341344120416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105341344120416 is an abundant number, since it is smaller than the sum of its proper divisors (172156790374368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105341344120416 is a wasteful number, since it uses less digits than its factorization.

105341344120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877405483 (or 3877405475 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 105341344120416 its reverse (614021443143501), we get a palindrome (719362787263917).

The spelling of 105341344120416 in words is "one hundred five trillion, three hundred forty-one billion, three hundred forty-four million, one hundred twenty thousand, four hundred sixteen".