106087313 has 2 divisors, whose sum is σ = 106087314. Its totient is φ = 106087312.

The previous prime is 106087309. The next prime is 106087343. The reversal of 106087313 is 313780601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85229824 + 20857489 = 9232^2 + 4567^2 .

It is a cyclic number.

It is not a de Polignac number, because 106087313 - 2² = 106087309 is a prime.

It is a super-2 number, since 2×106087313² = 22509035959119938, which contains 22 as substring.

It is equal to p_6091526 and since 106087313 and 6091526 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (106087343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53043656 + 53043657.

It is an arithmetic number, because the mean of its divisors is an integer number (53043657).

Almost surely, 2^106087313 is an apocalyptic number.

It is an amenable number.

106087313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106087313 is an equidigital number, since it uses as much as digits as its factorization.

106087313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 106087313 is about 10299.8695622809. The cubic root of 106087313 is about 473.3922567105.

The spelling of 106087313 in words is "one hundred six million, eighty-seven thousand, three hundred thirteen".