Search a number
-
+
105195396009497 is a prime number
BaseRepresentation
bin10111111010110010110110…
…001101100000111000011001
3111210110120201000111101112112
4113322302312031200320121
5102242010132334300442
61011422033041522105
731105054656445523
oct2772626615407031
9453416630441475
10105195396009497
1130578131677702
12b96b6a5343335
134690b63742931
141bd96ad020a13
15c26591185082
hex5facb6360e19

105195396009497 has 2 divisors, whose sum is σ = 105195396009498. Its totient is φ = 105195396009496.

The previous prime is 105195396009427. The next prime is 105195396009547. The reversal of 105195396009497 is 794900693591501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102270119411161 + 2925276598336 = 10112869^2 + 1710344^2 .

It is a cyclic number.

It is not a de Polignac number, because 105195396009497 - 210 = 105195396008473 is a prime.

It is a super-2 number, since 2×1051953960094972 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105195396009427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52597698004748 + 52597698004749.

It is an arithmetic number, because the mean of its divisors is an integer number (52597698004749).

Almost surely, 2105195396009497 is an apocalyptic number.

It is an amenable number.

105195396009497 is a deficient number, since it is larger than the sum of its proper divisors (1).

105195396009497 is an equidigital number, since it uses as much as digits as its factorization.

105195396009497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82668600, while the sum is 68.

The spelling of 105195396009497 in words is "one hundred five trillion, one hundred ninety-five billion, three hundred ninety-six million, nine thousand, four hundred ninety-seven".