Search a number
-
+
100844101 is a prime number
BaseRepresentation
bin1100000001011…
…00001001000101
321000202102002201
412000230021011
5201304002401
614001234501
72333106061
oct600541105
9230672081
10100844101
1151a18736
1229932a31
1317b7aa87
14d570aa1
158cbeb01
hex602c245

100844101 has 2 divisors, whose sum is σ = 100844102. Its totient is φ = 100844100.

The previous prime is 100844089. The next prime is 100844113. The reversal of 100844101 is 101448001.

It is a balanced prime because it is at equal distance from previous prime (100844089) and next prime (100844113).

It can be written as a sum of positive squares in only one way, i.e., 95531076 + 5313025 = 9774^2 + 2305^2 .

It is a cyclic number.

It is not a de Polignac number, because 100844101 - 213 = 100835909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100844201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50422050 + 50422051.

It is an arithmetic number, because the mean of its divisors is an integer number (50422051).

Almost surely, 2100844101 is an apocalyptic number.

It is an amenable number.

100844101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100844101 is an equidigital number, since it uses as much as digits as its factorization.

100844101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 100844101 is about 10042.1163606085. The cubic root of 100844101 is about 465.4612157975.

The spelling of 100844101 in words is "one hundred million, eight hundred forty-four thousand, one hundred one".