1000106057 has 2 divisors, whose sum is σ = 1000106058. Its totient is φ = 1000106056.

The previous prime is 1000106047. The next prime is 1000106099. The reversal of 1000106057 is 7506010001.

1000106057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 815445136 + 184660921 = 28556^2 + 13589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000106057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000106017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500053028 + 500053029.

It is an arithmetic number, because the mean of its divisors is an integer number (500053029).

Almost surely, 2^1000106057 is an apocalyptic number.

It is an amenable number.

1000106057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000106057 is an equidigital number, since it uses as much as digits as its factorization.

1000106057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 1000106057 is about 31624.4534656332. The cubic root of 1000106057 is about 1000.0353510836.

Adding to 1000106057 its reverse (7506010001), we get a palindrome (8506116058).

The spelling of 1000106057 in words is "one billion, one hundred six thousand, fifty-seven".