105688065 has 32 divisors (see below), whose sum is σ = 204629760. Its totient is φ = 45471744.

The previous prime is 105688039. The next prime is 105688067. The reversal of 105688065 is 560886501.

It is not a de Polignac number, because 105688065 - 2⁸ = 105687809 is a prime.

It is a super-2 number, since 2×105688065² = 22339934166888450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105688067) 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, 27820 + ... + 31389.

It is an arithmetic number, because the mean of its divisors is an integer number (6394680).

Almost surely, 2^105688065 is an apocalyptic number.

105688065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105688065 is a deficient number, since it is larger than the sum of its proper divisors (98941695).

105688065 is a wasteful number, since it uses less digits than its factorization.

105688065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59241.

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 105688065 is about 10280.4700768010. The cubic root of 105688065 is about 472.7976568535.

The spelling of 105688065 in words is "one hundred five million, six hundred eighty-eight thousand, sixty-five".