105831857 has 2 divisors, whose sum is σ = 105831858. Its totient is φ = 105831856.

The previous prime is 105831841. The next prime is 105831907. The reversal of 105831857 is 758138501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57820816 + 48011041 = 7604^2 + 6929^2 .

It is an emirp because it is prime and its reverse (758138501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105831857 - 2⁴ = 105831841 is a prime.

It is a super-2 number, since 2×105831857² = 22400763912136898, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105831857.

It is not a weakly prime, because it can be changed into another prime (105831457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52915928 + 52915929.

It is an arithmetic number, because the mean of its divisors is an integer number (52915929).

Almost surely, 2^105831857 is an apocalyptic number.

It is an amenable number.

105831857 is a deficient number, since it is larger than the sum of its proper divisors (1).

105831857 is an equidigital number, since it uses as much as digits as its factorization.

105831857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33600, while the sum is 38.

The square root of 105831857 is about 10287.4611542401. The cubic root of 105831857 is about 473.0119784745.

The spelling of 105831857 in words is "one hundred five million, eight hundred thirty-one thousand, eight hundred fifty-seven".