105049917 has 72 divisors (see below), whose sum is σ = 190195200. Its totient is φ = 54665280.

The previous prime is 105049907. The next prime is 105049939. The reversal of 105049917 is 719940501.

It is not a de Polignac number, because 105049917 - 2⁶ = 105049853 is a prime.

It is a super-3 number, since 3×105049917³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105049907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 704959 + ... + 705107.

It is an arithmetic number, because the mean of its divisors is an integer number (2641600).

Almost surely, 2^105049917 is an apocalyptic number.

It is an amenable number.

105049917 is a deficient number, since it is larger than the sum of its proper divisors (85145283).

105049917 is a wasteful number, since it uses less digits than its factorization.

105049917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 105049917 is about 10249.3861767425. The cubic root of 105049917 is about 471.8441459118.

The spelling of 105049917 in words is "one hundred five million, forty-nine thousand, nine hundred seventeen".