1000100957 has 2 divisors, whose sum is σ = 1000100958. Its totient is φ = 1000100956.

The previous prime is 1000100911. The next prime is 1000100977. The reversal of 1000100957 is 7590010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 630461881 + 369639076 = 25109^2 + 19226^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100957 - 2²⁰ = 999052381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000100977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050478 + 500050479.

It is an arithmetic number, because the mean of its divisors is an integer number (500050479).

Almost surely, 2^1000100957 is an apocalyptic number.

It is an amenable number.

1000100957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100957 is an equidigital number, since it uses as much as digits as its factorization.

1000100957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 1000100957 is about 31624.3728317258. The cubic root of 1000100957 is about 1000.0336512009.

Adding to 1000100957 its reverse (7590010001), we get a palindrome (8590110958).

The spelling of 1000100957 in words is "one billion, one hundred thousand, nine hundred fifty-seven".