105053640000205 has 96 divisors (see below), whose sum is σ = 148518332121600. Its totient is φ = 70868489822208.

The previous prime is 105053640000151. The next prime is 105053640000227. The reversal of 105053640000205 is 502000046350501.

It is not a de Polignac number, because 105053640000205 - 2⁷ = 105053640000077 is a prime.

It is a super-2 number, since 2×105053640000205² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86956969 + ... + 88156801.

It is an arithmetic number, because the mean of its divisors is an integer number (1547065959600).

Almost surely, 2^{105053640000205} is an apocalyptic number.

It is an amenable number.

105053640000205 is a deficient number, since it is larger than the sum of its proper divisors (43464692121395).

105053640000205 is a wasteful number, since it uses less digits than its factorization.

105053640000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200023 (or 1200006 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 105053640000205 its reverse (502000046350501), we get a palindrome (607053686350706).

The spelling of 105053640000205 in words is "one hundred five trillion, fifty-three billion, six hundred forty million, two hundred five", and thus it is an aban number.