105351413 has 2 divisors, whose sum is σ = 105351414. Its totient is φ = 105351412.

The previous prime is 105351401. The next prime is 105351473. The reversal of 105351413 is 314153501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104387089 + 964324 = 10217^2 + 982^2 .

It is an emirp because it is prime and its reverse (314153501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105351413 - 2⁶ = 105351349 is a prime.

It is a super-2 number, since 2×105351413² = 22197840442193138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105351473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52675706 + 52675707.

It is an arithmetic number, because the mean of its divisors is an integer number (52675707).

Almost surely, 2^105351413 is an apocalyptic number.

It is an amenable number.

105351413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105351413 is an equidigital number, since it uses as much as digits as its factorization.

105351413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105351413 is about 10264.0836415142. The cubic root of 105351413 is about 472.2951164201.

The spelling of 105351413 in words is "one hundred five million, three hundred fifty-one thousand, four hundred thirteen".