107729257 has 2 divisors, whose sum is σ = 107729258. Its totient is φ = 107729256.

The previous prime is 107729243. The next prime is 107729299. The reversal of 107729257 is 752927701.

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., 96412761 + 11316496 = 9819^2 + 3364^2 .

It is a cyclic number.

It is not a de Polignac number, because 107729257 - 2¹⁵ = 107696489 is a prime.

It is not a weakly prime, because it can be changed into another prime (107729207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53864628 + 53864629.

It is an arithmetic number, because the mean of its divisors is an integer number (53864629).

Almost surely, 2^107729257 is an apocalyptic number.

It is an amenable number.

107729257 is a deficient number, since it is larger than the sum of its proper divisors (1).

107729257 is an equidigital number, since it uses as much as digits as its factorization.

107729257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61740, while the sum is 40.

The square root of 107729257 is about 10379.2705427694. The cubic root of 107729257 is about 475.8220402593.

The spelling of 107729257 in words is "one hundred seven million, seven hundred twenty-nine thousand, two hundred fifty-seven".