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100057 is a prime number
BaseRepresentation
bin11000011011011001
312002020211
4120123121
511200212
62051121
7564466
oct303331
9162224
10100057
11691a1
1249aa1
1336709
142866d
151e9a7
hex186d9

100057 has 2 divisors, whose sum is σ = 100058. Its totient is φ = 100056.

The previous prime is 100049. The next prime is 100069. The reversal of 100057 is 750001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 15376 = 291^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 100057 - 23 = 100049 is a prime.

It is a super-2 number, since 2×1000572 = 20022806498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50028 + 50029.

It is an arithmetic number, because the mean of its divisors is an integer number (50029).

2100057 is an apocalyptic number.

It is an amenable number.

100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100057 is an equidigital number, since it uses as much as digits as its factorization.

100057 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 13.

The square root of 100057 is about 316.3178780910. The cubic root of 100057 is about 46.4247056798.

Adding to 100057 its reverse (750001), we get a palindrome (850058).

The spelling of 100057 in words is "one hundred thousand, fifty-seven".