Search a number
-
+
105055901 is a prime number
BaseRepresentation
bin1100100001100…
…00011010011101
321022200101121022
412100300122131
5203343242101
614231413525
72413650266
oct620603235
9238611538
10105055901
1154335065
122b2242a5
13189c3b72
14dd4996d
159352a1b
hex643069d

105055901 has 2 divisors, whose sum is σ = 105055902. Its totient is φ = 105055900.

The previous prime is 105055897. The next prime is 105055949. The reversal of 105055901 is 109550501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104244100 + 811801 = 10210^2 + 901^2 .

It is an emirp because it is prime and its reverse (109550501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105055901 - 22 = 105055897 is a prime.

It is a super-2 number, since 2×1050559012 = 22073484669843602, 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 (105055961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527950 + 52527951.

It is an arithmetic number, because the mean of its divisors is an integer number (52527951).

Almost surely, 2105055901 is an apocalyptic number.

It is an amenable number.

105055901 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055901 is an equidigital number, since it uses as much as digits as its factorization.

105055901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1125, while the sum is 26.

The square root of 105055901 is about 10249.6780925061. The cubic root of 105055901 is about 471.8531050233.

The spelling of 105055901 in words is "one hundred five million, fifty-five thousand, nine hundred one".