101842057 has 2 divisors, whose sum is σ = 101842058. Its totient is φ = 101842056.

The previous prime is 101842043. The next prime is 101842063. The reversal of 101842057 is 750248101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83557881 + 18284176 = 9141^2 + 4276^2 .

It is an emirp because it is prime and its reverse (750248101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101842057 is a prime.

It is not a weakly prime, because it can be changed into another prime (101842007) 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, 50921028 + 50921029.

It is an arithmetic number, because the mean of its divisors is an integer number (50921029).

Almost surely, 2^101842057 is an apocalyptic number.

It is an amenable number.

101842057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101842057 is an equidigital number, since it uses as much as digits as its factorization.

101842057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 101842057 is about 10091.6825653604. The cubic root of 101842057 is about 466.9915843238.

The spelling of 101842057 in words is "one hundred one million, eight hundred forty-two thousand, fifty-seven".