1000103957 has 2 divisors, whose sum is σ = 1000103958. Its totient is φ = 1000103956.

The previous prime is 1000103903. The next prime is 1000103959. The reversal of 1000103957 is 7593010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 641153041 + 358950916 = 25321^2 + 18946^2 .

It is an emirp because it is prime and its reverse (7593010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000103957 - 2⁸ = 1000103701 is a prime.

Together with 1000103959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000103959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051978 + 500051979.

It is an arithmetic number, because the mean of its divisors is an integer number (500051979).

Almost surely, 2^1000103957 is an apocalyptic number.

It is an amenable number.

1000103957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000103957 is an equidigital number, since it uses as much as digits as its factorization.

1000103957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 26.

The square root of 1000103957 is about 31624.4202634610. The cubic root of 1000103957 is about 1000.0346511326.

Adding to 1000103957 its reverse (7593010001), we get a palindrome (8593113958).

The spelling of 1000103957 in words is "one billion, one hundred three thousand, nine hundred fifty-seven".