105345413 has 12 divisors (see below), whose sum is σ = 113025120. Its totient is φ = 98158272.

The previous prime is 105345407. The next prime is 105345419. The reversal of 105345413 is 314543501.

It is an interprime number because it is at equal distance from previous prime (105345407) and next prime (105345419).

It is not a de Polignac number, because 105345413 - 2⁶ = 105345349 is a prime.

It is a super-2 number, since 2×105345413² = 22195312080281138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105345419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27998 + ... + 31536.

It is an arithmetic number, because the mean of its divisors is an integer number (9418760).

Almost surely, 2^105345413 is an apocalyptic number.

It is an amenable number.

105345413 is a deficient number, since it is larger than the sum of its proper divisors (7679707).

105345413 is a wasteful number, since it uses less digits than its factorization.

105345413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 105345413 is about 10263.7913560243. The cubic root of 105345413 is about 472.2861501601.

Adding to 105345413 its reverse (314543501), we get a palindrome (419888914).

The spelling of 105345413 in words is "one hundred five million, three hundred forty-five thousand, four hundred thirteen".