10144515510105 has 64 divisors (see below), whose sum is σ = 16458010748928. Its totient is φ = 5335070827520.

The previous prime is 10144515510047. The next prime is 10144515510161. The reversal of 10144515510105 is 50101551544101.

It is not a de Polignac number, because 10144515510105 - 2²⁴ = 10144498732889 is a prime.

It is a super-2 number, since 2×10144515510105² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2148804145 + ... + 2148808865.

It is an arithmetic number, because the mean of its divisors is an integer number (257156417952).

Almost surely, 2^{10144515510105} is an apocalyptic number.

10144515510105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10144515510105 is a deficient number, since it is larger than the sum of its proper divisors (6313495238823).

10144515510105 is a wasteful number, since it uses less digits than its factorization.

10144515510105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726.

The product of its (nonzero) digits is 10000, while the sum is 33.

The spelling of 10144515510105 in words is "ten trillion, one hundred forty-four billion, five hundred fifteen million, five hundred ten thousand, one hundred five".