106431313 has 2 divisors, whose sum is σ = 106431314. Its totient is φ = 106431312.

The previous prime is 106431257. The next prime is 106431317. The reversal of 106431313 is 313134601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100340289 + 6091024 = 10017^2 + 2468^2 .

It is a cyclic number.

It is not a de Polignac number, because 106431313 - 2⁹ = 106430801 is a prime.

It is a super-2 number, since 2×106431313² = 22655248773807938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106431317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53215656 + 53215657.

It is an arithmetic number, because the mean of its divisors is an integer number (53215657).

Almost surely, 2^106431313 is an apocalyptic number.

It is an amenable number.

106431313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106431313 is an equidigital number, since it uses as much as digits as its factorization.

106431313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 106431313 is about 10316.5552874979. Note that the first 3 decimals coincide. The cubic root of 106431313 is about 473.9033804620.

Adding to 106431313 its reverse (313134601), we get a palindrome (419565914).

The spelling of 106431313 in words is "one hundred six million, four hundred thirty-one thousand, three hundred thirteen".