105057117 has 24 divisors (see below), whose sum is σ = 167027328. Its totient is φ = 63100800.

The previous prime is 105057103. The next prime is 105057119. The reversal of 105057117 is 711750501.

It is not a de Polignac number, because 105057117 - 2⁷ = 105056989 is a prime.

It is a super-2 number, since 2×105057117² = 22073995664703378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105057119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6492 + ... + 15882.

It is an arithmetic number, because the mean of its divisors is an integer number (6959472).

Almost surely, 2^105057117 is an apocalyptic number.

It is an amenable number.

105057117 is a deficient number, since it is larger than the sum of its proper divisors (61970211).

105057117 is a wasteful number, since it uses less digits than its factorization.

105057117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 27.

The square root of 105057117 is about 10249.7374112706. The cubic root of 105057117 is about 471.8549255498.

The spelling of 105057117 in words is "one hundred five million, fifty-seven thousand, one hundred seventeen".