103851257 has 2 divisors, whose sum is σ = 103851258. Its totient is φ = 103851256.

The previous prime is 103851229. The next prime is 103851281. The reversal of 103851257 is 752158301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96255721 + 7595536 = 9811^2 + 2756^2 .

It is a cyclic number.

It is not a de Polignac number, because 103851257 - 2¹⁰ = 103850233 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (103851217) 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, 51925628 + 51925629.

It is an arithmetic number, because the mean of its divisors is an integer number (51925629).

Almost surely, 2^103851257 is an apocalyptic number.

It is an amenable number.

103851257 is a deficient number, since it is larger than the sum of its proper divisors (1).

103851257 is an equidigital number, since it uses as much as digits as its factorization.

103851257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 103851257 is about 10190.7436921944. The cubic root of 103851257 is about 470.0426353355.

The spelling of 103851257 in words is "one hundred three million, eight hundred fifty-one thousand, two hundred fifty-seven".