105117481 has 32 divisors (see below), whose sum is σ = 133297920. Its totient is φ = 80870400.

The previous prime is 105117469. The next prime is 105117491. The reversal of 105117481 is 184711501.

It is a 4-Lehmer number, since φ(105117481) divides (105117481-1)⁴.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 105117481 - 2⁵ = 105117449 is a prime.

It is a super-2 number, since 2×105117481² = 22099369623570722, which contains 22 as substring.

It is a deceptive number, since it divides R_105117480.

It is not an unprimeable number, because it can be changed into a prime (105117401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201501 + ... + 202021.

It is an arithmetic number, because the mean of its divisors is an integer number (4165560).

It is a Poulet number, since it divides 2^105117480-1.

Almost surely, 2^105117481 is an apocalyptic number.

It is an amenable number.

105117481 is a deficient number, since it is larger than the sum of its proper divisors (28180439).

105117481 is a wasteful number, since it uses less digits than its factorization.

105117481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625.

The product of its (nonzero) digits is 1120, while the sum is 28.

The square root of 105117481 is about 10252.6816492077. The cubic root of 105117481 is about 471.9452814692.

Adding to 105117481 its reverse (184711501), we get a palindrome (289828982).

The spelling of 105117481 in words is "one hundred five million, one hundred seventeen thousand, four hundred eighty-one".