107087257 has 2 divisors, whose sum is σ = 107087258. Its totient is φ = 107087256.

The previous prime is 107087221. The next prime is 107087261. The reversal of 107087257 is 752780701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95824521 + 11262736 = 9789^2 + 3356^2 .

It is a cyclic number.

It is not a de Polignac number, because 107087257 - 2¹⁹ = 106562969 is a prime.

It is a super-2 number, since 2×107087257² = 22935361223568098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107082257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53543628 + 53543629.

It is an arithmetic number, because the mean of its divisors is an integer number (53543629).

Almost surely, 2^107087257 is an apocalyptic number.

It is an amenable number.

107087257 is a deficient number, since it is larger than the sum of its proper divisors (1).

107087257 is an equidigital number, since it uses as much as digits as its factorization.

107087257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27440, while the sum is 37.

The square root of 107087257 is about 10348.2972995561. The cubic root of 107087257 is about 474.8749543417.

The spelling of 107087257 in words is "one hundred seven million, eighty-seven thousand, two hundred fifty-seven".