105122410345351 has 24 divisors (see below), whose sum is σ = 126803113224864. Its totient is φ = 85357667315520.

The previous prime is 105122410345339. The next prime is 105122410345367. The reversal of 105122410345351 is 153543014221501.

It is not a de Polignac number, because 105122410345351 - 2²³ = 105122401956743 is a prime.

It is a super-3 number, since 3×105122410345351³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105122410345351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105122410349351) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43244101 + ... + 45610273.

It is an arithmetic number, because the mean of its divisors is an integer number (5283463051036).

Almost surely, 2^{105122410345351} is an apocalyptic number.

105122410345351 is a deficient number, since it is larger than the sum of its proper divisors (21680702879513).

105122410345351 is a wasteful number, since it uses less digits than its factorization.

105122410345351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383799 (or 2383780 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 105122410345351 its reverse (153543014221501), we get a palindrome (258665424566852).

The spelling of 105122410345351 in words is "one hundred five trillion, one hundred twenty-two billion, four hundred ten million, three hundred forty-five thousand, three hundred fifty-one".