105111237361 has 16 divisors (see below), whose sum is σ = 116285257984. Its totient is φ = 94379753664.

The previous prime is 105111237349. The next prime is 105111237403. The reversal of 105111237361 is 163732111501.

It is a cyclic number.

It is not a de Polignac number, because 105111237361 - 2⁹ = 105111236849 is a prime.

It is a super-2 number, since 2×105111237361² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105111237061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2056036 + ... + 2106538.

It is an arithmetic number, because the mean of its divisors is an integer number (7267828624).

Almost surely, 2^105111237361 is an apocalyptic number.

It is an amenable number.

105111237361 is a deficient number, since it is larger than the sum of its proper divisors (11174020623).

105111237361 is a wasteful number, since it uses less digits than its factorization.

105111237361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54880.

The product of its (nonzero) digits is 3780, while the sum is 31.

Adding to 105111237361 its reverse (163732111501), we get a palindrome (268843348862).

The spelling of 105111237361 in words is "one hundred five billion, one hundred eleven million, two hundred thirty-seven thousand, three hundred sixty-one".