105968577 has 24 divisors (see below), whose sum is σ = 166913568. Its totient is φ = 59280000.

The previous prime is 105968573. The next prime is 105968587. The reversal of 105968577 is 775869501.

It is not a de Polignac number, because 105968577 - 2² = 105968573 is a prime.

It is a super-2 number, since 2×105968577² = 22458678622809858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105968573) 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, 3924 + ... + 15077.

It is an arithmetic number, because the mean of its divisors is an integer number (6954732).

Almost surely, 2^105968577 is an apocalyptic number.

It is an amenable number.

105968577 is a deficient number, since it is larger than the sum of its proper divisors (60944991).

105968577 is a wasteful number, since it uses less digits than its factorization.

105968577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19041 (or 19028 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The square root of 105968577 is about 10294.1039920918. The cubic root of 105968577 is about 473.2155793285.

The spelling of 105968577 in words is "one hundred five million, nine hundred sixty-eight thousand, five hundred seventy-seven".