105345236261 has 16 divisors (see below), whose sum is σ = 112807080000. Its totient is φ = 98076266496.

The previous prime is 105345236189. The next prime is 105345236263. The reversal of 105345236261 is 162632543501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105345236261 is a prime.

It is a super-2 number, since 2×105345236261² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105345236263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3717695 + ... + 3745923.

It is an arithmetic number, because the mean of its divisors is an integer number (7050442500).

Almost surely, 2^105345236261 is an apocalyptic number.

It is an amenable number.

105345236261 is a deficient number, since it is larger than the sum of its proper divisors (7461843739).

105345236261 is a wasteful number, since it uses less digits than its factorization.

105345236261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31636.

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 105345236261 its reverse (162632543501), we get a palindrome (267977779762).

The spelling of 105345236261 in words is "one hundred five billion, three hundred forty-five million, two hundred thirty-six thousand, two hundred sixty-one".