100100057 has 2 divisors, whose sum is σ = 100100058. Its totient is φ = 100100056.

The previous prime is 100100053. The next prime is 100100069. The reversal of 100100057 is 750001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99121936 + 978121 = 9956^2 + 989^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100057 - 2² = 100100053 is a prime.

It is a super-2 number, since 2×100100057² = 20040042822806498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050028 + 50050029.

It is an arithmetic number, because the mean of its divisors is an integer number (50050029).

Almost surely, 2^100100057 is an apocalyptic number.

It is an amenable number.

100100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100057 is an equidigital number, since it uses as much as digits as its factorization.

100100057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 100100057 is about 10005.0015992003. The cubic root of 100100057 is about 464.3136395759.

Adding to 100100057 its reverse (750001001), we get a palindrome (850101058).

The spelling of 100100057 in words is "one hundred million, one hundred thousand, fifty-seven".