Search a number
100169 is a prime number
BaseRepresentation
bin11000011101001001
312002101222
4120131021
511201134
62051425
7565016
oct303511
9162358
10100169
1169293
1249b75
1336794
142870d
151ea2e
hex18749

100169 has 2 divisors, whose sum is σ = 100170. Its totient is φ = 100168.

The previous prime is 100153. The next prime is 100183. The reversal of 100169 is 961001.

It can be divided in two parts, 100 and 169, that multiplied together give a square (16900 = 1302).

100169 is nontrivially palindromic in base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55225 + 44944 = 235^2 + 212^2 .

It is a cyclic number.

It is not a de Polignac number, because 100169 - 24 = 100153 is a prime.

It is a super-2 number, since 2×1001692 = 20067657122, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50084 + 50085.

It is an arithmetic number, because the mean of its divisors is an integer number (50085).

2100169 is an apocalyptic number.

It is an amenable number.

100169 is a deficient number, since it is larger than the sum of its proper divisors (1).

100169 is an equidigital number, since it uses as much as digits as its factorization.

100169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 100169 is about 316.4948656772. The cubic root of 100169 is about 46.4420212372.

The spelling of 100169 in words is "one hundred thousand, one hundred sixty-nine".