105631421264 has 40 divisors (see below), whose sum is σ = 206227646568. Its totient is φ = 52411658240.

The previous prime is 105631421263. The next prime is 105631421279. The reversal of 105631421264 is 462124136501.

It can be written as a sum of positive squares in 4 ways, for example, as 79068940864 + 26562480400 = 281192^2 + 162980^2 .

It is a super-3 number, since 3×105631421264³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7842824 + ... + 7856280.

Almost surely, 2^105631421264 is an apocalyptic number.

It is an amenable number.

105631421264 is a deficient number, since it is larger than the sum of its proper divisors (100596225304).

105631421264 is a wasteful number, since it uses less digits than its factorization.

105631421264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17183 (or 17177 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 105631421264 its reverse (462124136501), we get a palindrome (567755557765).

The spelling of 105631421264 in words is "one hundred five billion, six hundred thirty-one million, four hundred twenty-one thousand, two hundred sixty-four".