105971413 has 2 divisors, whose sum is σ = 105971414. Its totient is φ = 105971412.

The previous prime is 105971381. The next prime is 105971431. The reversal of 105971413 is 314179501.

Together with next prime (105971431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93566929 + 12404484 = 9673^2 + 3522^2 .

It is an emirp because it is prime and its reverse (314179501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105971413 - 2⁵ = 105971381 is a prime.

It is a super-2 number, since 2×105971413² = 22459880746433138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105971443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52985706 + 52985707.

It is an arithmetic number, because the mean of its divisors is an integer number (52985707).

Almost surely, 2^105971413 is an apocalyptic number.

It is an amenable number.

105971413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105971413 is an equidigital number, since it uses as much as digits as its factorization.

105971413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 105971413 is about 10294.2417399243. The cubic root of 105971413 is about 473.2198007919.

The spelling of 105971413 in words is "one hundred five million, nine hundred seventy-one thousand, four hundred thirteen".