105130212261 has 16 divisors (see below), whose sum is σ = 148431860928. Its totient is φ = 65958393600.

The previous prime is 105130212259. The next prime is 105130212263. The reversal of 105130212261 is 162212031501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105130212259) and next prime (105130212263).

It is not a de Polignac number, because 105130212261 - 2¹ = 105130212259 is a prime.

It is a super-2 number, since 2×105130212261² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105130212263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557406 + ... + 721776.

It is an arithmetic number, because the mean of its divisors is an integer number (9276991308).

Almost surely, 2^105130212261 is an apocalyptic number.

It is an amenable number.

105130212261 is a deficient number, since it is larger than the sum of its proper divisors (43301648667).

105130212261 is a wasteful number, since it uses less digits than its factorization.

105130212261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176932.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 105130212261 its reverse (162212031501), we get a palindrome (267342243762).

The spelling of 105130212261 in words is "one hundred five billion, one hundred thirty million, two hundred twelve thousand, two hundred sixty-one".