10105236544 has 56 divisors (see below), whose sum is σ = 22121868888. Its totient is φ = 4550184960.

The previous prime is 10105236529. The next prime is 10105236569. The reversal of 10105236544 is 44563250101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7398400 + 10097838144 = 2720^2 + 100488^2 .

It is a super-2 number, since 2×10105236544² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114007 + ... + 182230.

It is an arithmetic number, because the mean of its divisors is an integer number (395033373).

Almost surely, 2^10105236544 is an apocalyptic number.

It is an amenable number.

10105236544 is an abundant number, since it is smaller than the sum of its proper divisors (12016632344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10105236544 is a wasteful number, since it uses less digits than its factorization.

10105236544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296303 (or 296293 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 10105236544 its reverse (44563250101), we get a palindrome (54668486645).

The spelling of 10105236544 in words is "ten billion, one hundred five million, two hundred thirty-six thousand, five hundred forty-four".