1000102057 has 2 divisors, whose sum is σ = 1000102058. Its totient is φ = 1000102056.

The previous prime is 1000102039. The next prime is 1000102063. The reversal of 1000102057 is 7502010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 989983296 + 10118761 = 31464^2 + 3181^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000102057 - 2¹¹ = 1000100009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000102057.

It is not a weakly prime, because it can be changed into another prime (1000102007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051028 + 500051029.

It is an arithmetic number, because the mean of its divisors is an integer number (500051029).

Almost surely, 2^1000102057 is an apocalyptic number.

It is an amenable number.

1000102057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102057 is an equidigital number, since it uses as much as digits as its factorization.

1000102057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1000102057 is about 31624.3902233703. The cubic root of 1000102057 is about 1000.0340178428.

Adding to 1000102057 its reverse (7502010001), we get a palindrome (8502112058).

The spelling of 1000102057 in words is "one billion, one hundred two thousand, fifty-seven".