10505601000105 has 16 divisors (see below), whose sum is σ = 17263257860544. Its totient is φ = 5451555113280.

The previous prime is 10505601000067. The next prime is 10505601000127. The reversal of 10505601000105 is 50100010650501.

It is not a de Polignac number, because 10505601000105 - 2⁷ = 10505600999977 is a prime.

It is a super-2 number, since 2×10505601000105² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9464504851 + ... + 9464505960.

It is an arithmetic number, because the mean of its divisors is an integer number (1078953616284).

Almost surely, 2^{10505601000105} is an apocalyptic number.

10505601000105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10505601000105 is a deficient number, since it is larger than the sum of its proper divisors (6757656860439).

10505601000105 is a wasteful number, since it uses less digits than its factorization.

10505601000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18929010856.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10505601000105 its reverse (50100010650501), we get a palindrome (60605611650606).

The spelling of 10505601000105 in words is "ten trillion, five hundred five billion, six hundred one million, one hundred five", and thus it is an aban number.