105858413 has 2 divisors, whose sum is σ = 105858414. Its totient is φ = 105858412.

The previous prime is 105858409. The next prime is 105858419. The reversal of 105858413 is 314858501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102961609 + 2896804 = 10147^2 + 1702^2 .

It is a cyclic number.

It is not a de Polignac number, because 105858413 - 2² = 105858409 is a prime.

It is a super-2 number, since 2×105858413² = 22412007205757138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105858419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52929206 + 52929207.

It is an arithmetic number, because the mean of its divisors is an integer number (52929207).

Almost surely, 2^105858413 is an apocalyptic number.

It is an amenable number.

105858413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105858413 is an equidigital number, since it uses as much as digits as its factorization.

105858413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 105858413 is about 10288.7517707446. The cubic root of 105858413 is about 473.0515388865.

The spelling of 105858413 in words is "one hundred five million, eight hundred fifty-eight thousand, four hundred thirteen".