100385057 has 2 divisors, whose sum is σ = 100385058. Its totient is φ = 100385056.

The previous prime is 100385029. The next prime is 100385059. The reversal of 100385057 is 750583001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76020961 + 24364096 = 8719^2 + 4936^2 .

It is a cyclic number.

It is not a de Polignac number, because 100385057 - 2⁶ = 100384993 is a prime.

Together with 100385059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100385059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50192528 + 50192529.

It is an arithmetic number, because the mean of its divisors is an integer number (50192529).

Almost surely, 2^100385057 is an apocalyptic number.

It is an amenable number.

100385057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100385057 is an equidigital number, since it uses as much as digits as its factorization.

100385057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 100385057 is about 10019.2343519852. The cubic root of 100385057 is about 464.7538790798.

The spelling of 100385057 in words is "one hundred million, three hundred eighty-five thousand, fifty-seven".