10105105002409 has 2 divisors, whose sum is σ = 10105105002410. Its totient is φ = 10105105002408.

The previous prime is 10105105002367. The next prime is 10105105002469. The reversal of 10105105002409 is 90420050150101.

10105105002409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5368475098009 + 4736629904400 = 2316997^2 + 2176380^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105105002409 - 2²⁷ = 10104970784681 is a prime.

It is a super-2 number, since 2×10105105002409² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10105105002469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052552501204 + 5052552501205.

It is an arithmetic number, because the mean of its divisors is an integer number (5052552501205).

Almost surely, 2^{10105105002409} is an apocalyptic number.

It is an amenable number.

10105105002409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105105002409 is an equidigital number, since it uses as much as digits as its factorization.

10105105002409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 10105105002409 in words is "ten trillion, one hundred five billion, one hundred five million, two thousand, four hundred nine".