Search a number
-
+
105315796969 is a prime number
BaseRepresentation
bin110001000010101001…
…1111000011111101001
3101001211122020210210221
41202011103320133221
53211141321000334
6120214215010041
710415552334565
oct1420523703751
9331748223727
10105315796969
1140734027039
12184b2069921
139c14c0a436
1451510486a5
152b15c708b4
hex18854f87e9

105315796969 has 2 divisors, whose sum is σ = 105315796970. Its totient is φ = 105315796968.

The previous prime is 105315796931. The next prime is 105315796973. The reversal of 105315796969 is 969697513501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100354003369 + 4961793600 = 316787^2 + 70440^2 .

It is a cyclic number.

It is not a de Polignac number, because 105315796969 - 29 = 105315796457 is a prime.

It is a super-2 number, since 2×1053157969692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105315796919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52657898484 + 52657898485.

It is an arithmetic number, because the mean of its divisors is an integer number (52657898485).

Almost surely, 2105315796969 is an apocalyptic number.

It is an amenable number.

105315796969 is a deficient number, since it is larger than the sum of its proper divisors (1).

105315796969 is an equidigital number, since it uses as much as digits as its factorization.

105315796969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13778100, while the sum is 61.

The spelling of 105315796969 in words is "one hundred five billion, three hundred fifteen million, seven hundred ninety-six thousand, nine hundred sixty-nine".