105125413 has 2 divisors, whose sum is σ = 105125414. Its totient is φ = 105125412.

The previous prime is 105125407. The next prime is 105125429. The reversal of 105125413 is 314521501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103184964 + 1940449 = 10158^2 + 1393^2 .

It is a cyclic number.

It is not a de Polignac number, because 105125413 - 2¹⁷ = 104994341 is a prime.

It is a super-3 number, since 3×105125413³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105125453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52562706 + 52562707.

It is an arithmetic number, because the mean of its divisors is an integer number (52562707).

Almost surely, 2^105125413 is an apocalyptic number.

It is an amenable number.

105125413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105125413 is an equidigital number, since it uses as much as digits as its factorization.

105125413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105125413 is about 10253.0684675369. The cubic root of 105125413 is about 471.9571519205.

Adding to 105125413 its reverse (314521501), we get a palindrome (419646914).

The spelling of 105125413 in words is "one hundred five million, one hundred twenty-five thousand, four hundred thirteen".