105631421265 has 24 divisors (see below), whose sum is σ = 183432942888. Its totient is φ = 56232610560.

The previous prime is 105631421263. The next prime is 105631421279. The reversal of 105631421265 is 562124136501.

105631421265 is a `hidden beast` number, since 1 + 0 + 5 + 631 + 4 + 2 + 12 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5931464256 + 99699957009 = 77016^2 + 315753^2 .

It is not a de Polignac number, because 105631421265 - 2¹ = 105631421263 is a prime.

It is a super-2 number, since 2×105631421265² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105631421263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2145124 + ... + 2193813.

It is an arithmetic number, because the mean of its divisors is an integer number (7643039287).

Almost surely, 2^105631421265 is an apocalyptic number.

105631421265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105631421265 is a deficient number, since it is larger than the sum of its proper divisors (77801521623).

105631421265 is a wasteful number, since it uses less digits than its factorization.

105631421265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339489 (or 4339486 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 105631421265 its reverse (562124136501), we get a palindrome (667755557766).

The spelling of 105631421265 in words is "one hundred five billion, six hundred thirty-one million, four hundred twenty-one thousand, two hundred sixty-five".