105263127361 has 12 divisors (see below), whose sum is σ = 123064276800. Its totient is φ = 89772134760.

The previous prime is 105263127341. The next prime is 105263127383. The reversal of 105263127361 is 163721362501.

It is not a de Polignac number, because 105263127361 - 2¹⁹ = 105262603073 is a prime.

It is a super-2 number, since 2×105263127361² (a number of 23 digits) contains 22 as substring.

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 105263127361.

It is not an unprimeable number, because it can be changed into a prime (105263127301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5387805 + ... + 5407306.

It is an arithmetic number, because the mean of its divisors is an integer number (10255356400).

Almost surely, 2^105263127361 is an apocalyptic number.

It is an amenable number.

105263127361 is a deficient number, since it is larger than the sum of its proper divisors (17801149439).

105263127361 is a wasteful number, since it uses less digits than its factorization.

105263127361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10795324 (or 10795317 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

Adding to 105263127361 its reverse (163721362501), we get a palindrome (268984489862).

The spelling of 105263127361 in words is "one hundred five billion, two hundred sixty-three million, one hundred twenty-seven thousand, three hundred sixty-one".