65820105 has 48 divisors (see below), whose sum is σ = 125012160. Its totient is φ = 31837824.

The previous prime is 65820091. The next prime is 65820109. The reversal of 65820105 is 50102856.

65820105 is a `hidden beast` number, since 658 + 2 + 0 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 65820105 - 2⁸ = 65819849 is a prime.

It is a super-2 number, since 2×65820105² = 8664572444422050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (65820109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33562 + ... + 35468.

It is an arithmetic number, because the mean of its divisors is an integer number (2604420).

Almost surely, 2^65820105 is an apocalyptic number.

65820105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65820105 is a deficient number, since it is larger than the sum of its proper divisors (59192055).

65820105 is a wasteful number, since it uses less digits than its factorization.

65820105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 65820105 is about 8112.9590779197. The cubic root of 65820105 is about 403.7564968107.

The spelling of 65820105 in words is "sixty-five million, eight hundred twenty thousand, one hundred five".