105001116657382 has 64 divisors (see below), whose sum is σ = 176264551588608. Its totient is φ = 46496581120000.

The previous prime is 105001116657377. The next prime is 105001116657391. The reversal of 105001116657382 is 283756611100501.

It is a super-2 number, since 2×105001116657382² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2351573757 + ... + 2351618407.

It is an arithmetic number, because the mean of its divisors is an integer number (2754133618572).

Almost surely, 2^{105001116657382} is an apocalyptic number.

105001116657382 is a deficient number, since it is larger than the sum of its proper divisors (71263434931226).

105001116657382 is a wasteful number, since it uses less digits than its factorization.

105001116657382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48405.

The product of its (nonzero) digits is 302400, while the sum is 46.

Adding to 105001116657382 its reverse (283756611100501), we get a palindrome (388757727757883).

The spelling of 105001116657382 in words is "one hundred five trillion, one billion, one hundred sixteen million, six hundred fifty-seven thousand, three hundred eighty-two".