107082113 has 2 divisors, whose sum is σ = 107082114. Its totient is φ = 107082112.

The previous prime is 107082097. The next prime is 107082137. The reversal of 107082113 is 311280701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106337344 + 744769 = 10312^2 + 863^2 .

It is an emirp because it is prime and its reverse (311280701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107082113 - 2⁴ = 107082097 is a prime.

It is a super-2 number, since 2×107082113² = 22933157849089538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107082193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53541056 + 53541057.

It is an arithmetic number, because the mean of its divisors is an integer number (53541057).

Almost surely, 2^107082113 is an apocalyptic number.

It is an amenable number.

107082113 is a deficient number, since it is larger than the sum of its proper divisors (1).

107082113 is an equidigital number, since it uses as much as digits as its factorization.

107082113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 107082113 is about 10348.0487532674. The cubic root of 107082113 is about 474.8673505865.

It can be divided in two parts, 10708 and 2113, that added together give a palindrome (12821).

The spelling of 107082113 in words is "one hundred seven million, eighty-two thousand, one hundred thirteen".