105365601544 has 32 divisors (see below), whose sum is σ = 237666772800. Its totient is φ = 42780018240.

The previous prime is 105365601533. The next prime is 105365601587. The reversal of 105365601544 is 445106563501.

It is a happy number.

It is a super-2 number, since 2×105365601544² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105365601497 and 105365601506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49512847 + ... + 49514974.

It is an arithmetic number, because the mean of its divisors is an integer number (7427086650).

Almost surely, 2^105365601544 is an apocalyptic number.

105365601544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105365601544 is an abundant number, since it is smaller than the sum of its proper divisors (132301171256).

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

105365601544 is a wasteful number, since it uses less digits than its factorization.

105365601544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99027853 (or 99027849 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 105365601544 in words is "one hundred five billion, three hundred sixty-five million, six hundred one thousand, five hundred forty-four".