105413640363 has 24 divisors (see below), whose sum is σ = 153798231600. Its totient is φ = 69568671744.

The previous prime is 105413640259. The next prime is 105413640407. The reversal of 105413640363 is 363046314501.

105413640363 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 3 + 640 + 3 + 6 + 3 = 666.

It is not a de Polignac number, because 105413640363 - 2¹⁸ = 105413378219 is a prime.

It is a super-2 number, since 2×105413640363² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105413640763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318023 + ... + 1395711.

It is an arithmetic number, because the mean of its divisors is an integer number (6408259650).

Almost surely, 2^105413640363 is an apocalyptic number.

105413640363 is a deficient number, since it is larger than the sum of its proper divisors (48384591237).

105413640363 is a wasteful number, since it uses less digits than its factorization.

105413640363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79211 (or 79208 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 105413640363 its reverse (363046314501), we get a palindrome (468459954864).

The spelling of 105413640363 in words is "one hundred five billion, four hundred thirteen million, six hundred forty thousand, three hundred sixty-three".