105665913 has 6 divisors (see below), whose sum is σ = 152628554. Its totient is φ = 70443936.

The previous prime is 105665869. The next prime is 105665939. The reversal of 105665913 is 319566501.

105665913 is a `hidden beast` number, since 1 + 0 + 5 + 66 + 591 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73822464 + 31843449 = 8592^2 + 5643^2 .

It is not a de Polignac number, because 105665913 - 2⁶ = 105665849 is a prime.

It is a super-2 number, since 2×105665913² = 22330570340247138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105665513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5870320 + ... + 5870337.

Almost surely, 2^105665913 is an apocalyptic number.

It is an amenable number.

105665913 is a deficient number, since it is larger than the sum of its proper divisors (46962641).

105665913 is a wasteful number, since it uses less digits than its factorization.

105665913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11740663 (or 11740660 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105665913 is about 10279.3926377000. The cubic root of 105665913 is about 472.7646220748.

The spelling of 105665913 in words is "one hundred five million, six hundred sixty-five thousand, nine hundred thirteen".