64000105 has 8 divisors (see below), whose sum is σ = 82707912. Its totient is φ = 47261568.

The previous prime is 64000091. The next prime is 64000109. The reversal of 64000105 is 50100046.

It can be written as a sum of positive squares in 4 ways, for example, as 7027801 + 56972304 = 2651^2 + 7548^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 64000105 - 2¹³ = 63991913 is a prime.

It is a super-2 number, since 2×64000105² = 8192026880022050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492244 + ... + 492373.

It is an arithmetic number, because the mean of its divisors is an integer number (10338489).

Almost surely, 2^64000105 is an apocalyptic number.

64000105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64000105 is a deficient number, since it is larger than the sum of its proper divisors (18707807).

64000105 is a wasteful number, since it uses less digits than its factorization.

64000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984635.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 64000105 is about 8000.0065624973. The cubic root of 64000105 is about 400.0002187499. Note that the first 3 decimals are identical.

The spelling of 64000105 in words is "sixty-four million, one hundred five", and thus it is an aban number.