100106110057 has 2 divisors, whose sum is σ = 100106110058. Its totient is φ = 100106110056.

The previous prime is 100106110051. The next prime is 100106110073. The reversal of 100106110057 is 750011601001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86661939456 + 13444170601 = 294384^2 + 115949^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106110057 - 2³⁵ = 65746371689 is a prime.

It is not a weakly prime, because it can be changed into another prime (100106110051) 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, 50053055028 + 50053055029.

It is an arithmetic number, because the mean of its divisors is an integer number (50053055029).

Almost surely, 2^100106110057 is an apocalyptic number.

It is an amenable number.

100106110057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106110057 is an equidigital number, since it uses as much as digits as its factorization.

100106110057 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 22.

Adding to 100106110057 its reverse (750011601001), we get a palindrome (850117711058).

The spelling of 100106110057 in words is "one hundred billion, one hundred six million, one hundred ten thousand, fifty-seven".