100085257 has 2 divisors, whose sum is σ = 100085258. Its totient is φ = 100085256.

The previous prime is 100085233. The next prime is 100085281. The reversal of 100085257 is 752580001.

It is a balanced prime because it is at equal distance from previous prime (100085233) and next prime (100085281).

It can be written as a sum of positive squares in only one way, i.e., 82646281 + 17438976 = 9091^2 + 4176^2 .

It is an emirp because it is prime and its reverse (752580001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100085257 - 2¹¹ = 100083209 is a prime.

It is not a weakly prime, because it can be changed into another prime (100085207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50042628 + 50042629.

It is an arithmetic number, because the mean of its divisors is an integer number (50042629).

Almost surely, 2^100085257 is an apocalyptic number.

It is an amenable number.

100085257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100085257 is an equidigital number, since it uses as much as digits as its factorization.

100085257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 100085257 is about 10004.2619417926. The cubic root of 100085257 is about 464.2907552048.

The spelling of 100085257 in words is "one hundred million, eighty-five thousand, two hundred fifty-seven".