106852513 has 2 divisors, whose sum is σ = 106852514. Its totient is φ = 106852512.

The previous prime is 106852511. The next prime is 106852597. The reversal of 106852513 is 315258601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91929744 + 14922769 = 9588^2 + 3863^2 .

It is a cyclic number.

It is not a de Polignac number, because 106852513 - 2¹ = 106852511 is a prime.

It is a super-2 number, since 2×106852513² = 22834919068830338, which contains 22 as substring.

Together with 106852511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106852511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53426256 + 53426257.

It is an arithmetic number, because the mean of its divisors is an integer number (53426257).

Almost surely, 2^106852513 is an apocalyptic number.

It is an amenable number.

106852513 is a deficient number, since it is larger than the sum of its proper divisors (1).

106852513 is an equidigital number, since it uses as much as digits as its factorization.

106852513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 106852513 is about 10336.9489212243. The cubic root of 106852513 is about 474.5277122822.

The spelling of 106852513 in words is "one hundred six million, eight hundred fifty-two thousand, five hundred thirteen".