105187212115341 has 48 divisors (see below), whose sum is σ = 142849572465600. Its totient is φ = 68848074247680.

The previous prime is 105187212115333. The next prime is 105187212115369. The reversal of 105187212115341 is 143511212781501.

It is not a de Polignac number, because 105187212115341 - 2³ = 105187212115333 is a prime.

It is a super-2 number, since 2×105187212115341² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105187212115293 and 105187212115302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105187212115301) 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, 19410813330 + ... + 19410818748.

It is an arithmetic number, because the mean of its divisors is an integer number (2976032759700).

Almost surely, 2^{105187212115341} is an apocalyptic number.

It is an amenable number.

105187212115341 is a deficient number, since it is larger than the sum of its proper divisors (37662360350259).

105187212115341 is an equidigital number, since it uses as much as digits as its factorization.

105187212115341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 42.

Adding to 105187212115341 its reverse (143511212781501), we get a palindrome (248698424896842).

The spelling of 105187212115341 in words is "one hundred five trillion, one hundred eighty-seven billion, two hundred twelve million, one hundred fifteen thousand, three hundred forty-one".