Search a number
-
+
105056104921 is a prime number
BaseRepresentation
bin110000111010111010…
…1001111000111011001
3101001011112121002021221
41201311311033013121
53210123330324141
6120132340532041
710406250105115
oct1416565170731
9331145532257
10105056104921
1140610483609
121843b0b1021
139ba31833c1
145128768745
152aed074bd1
hex1875d4f1d9

105056104921 has 2 divisors, whose sum is σ = 105056104922. Its totient is φ = 105056104920.

The previous prime is 105056104891. The next prime is 105056104957. The reversal of 105056104921 is 129401650501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59787585225 + 45268519696 = 244515^2 + 212764^2 .

It is an emirp because it is prime and its reverse (129401650501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105056104921 - 27 = 105056104793 is a prime.

It is a super-2 number, since 2×1050561049212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105056104981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52528052460 + 52528052461.

It is an arithmetic number, because the mean of its divisors is an integer number (52528052461).

Almost surely, 2105056104921 is an apocalyptic number.

It is an amenable number.

105056104921 is a deficient number, since it is larger than the sum of its proper divisors (1).

105056104921 is an equidigital number, since it uses as much as digits as its factorization.

105056104921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 105056104921 in words is "one hundred five billion, fifty-six million, one hundred four thousand, nine hundred twenty-one".