10105435213 has 2 divisors, whose sum is σ = 10105435214. Its totient is φ = 10105435212.

The previous prime is 10105435177. The next prime is 10105435229. The reversal of 10105435213 is 31253450101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9321323209 + 784112004 = 96547^2 + 28002^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105435213 - 2²⁵ = 10071880781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105435283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052717606 + 5052717607.

It is an arithmetic number, because the mean of its divisors is an integer number (5052717607).

Almost surely, 2^10105435213 is an apocalyptic number.

It is an amenable number.

10105435213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105435213 is an equidigital number, since it uses as much as digits as its factorization.

10105435213 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 25.

Adding to 10105435213 its reverse (31253450101), we get a palindrome (41358885314).

The spelling of 10105435213 in words is "ten billion, one hundred five million, four hundred thirty-five thousand, two hundred thirteen".