106515313 has 2 divisors, whose sum is σ = 106515314. Its totient is φ = 106515312.

The previous prime is 106515239. The next prime is 106515317. The reversal of 106515313 is 313515601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61732449 + 44782864 = 7857^2 + 6692^2 .

It is a cyclic number.

It is not a de Polignac number, because 106515313 - 2⁹ = 106514801 is a prime.

It is a super-2 number, since 2×106515313² = 22691023806975938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106515317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53257656 + 53257657.

It is an arithmetic number, because the mean of its divisors is an integer number (53257657).

Almost surely, 2^106515313 is an apocalyptic number.

It is an amenable number.

106515313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106515313 is an equidigital number, since it uses as much as digits as its factorization.

106515313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 106515313 is about 10320.6256108823. The cubic root of 106515313 is about 474.0280224017.

The spelling of 106515313 in words is "one hundred six million, five hundred fifteen thousand, three hundred thirteen".