Search a number
-
+
105263737297 is a prime number
BaseRepresentation
bin110001000001000110…
…1010010100111010001
3101001201000021220100221
41202002031102213101
53211040004043142
6120205115113041
710414351001245
oct1420215224721
9331630256327
10105263737297
11407076a9914
1218498742781
139c071b06b4
145148176425
152b113da767
hex18823529d1

105263737297 has 2 divisors, whose sum is σ = 105263737298. Its totient is φ = 105263737296.

The previous prime is 105263737289. The next prime is 105263737339. The reversal of 105263737297 is 792737362501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93483674001 + 11780063296 = 305751^2 + 108536^2 .

It is a cyclic number.

It is not a de Polignac number, because 105263737297 - 23 = 105263737289 is a prime.

It is a super-2 number, since 2×1052637372972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105263737217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52631868648 + 52631868649.

It is an arithmetic number, because the mean of its divisors is an integer number (52631868649).

Almost surely, 2105263737297 is an apocalyptic number.

It is an amenable number.

105263737297 is a deficient number, since it is larger than the sum of its proper divisors (1).

105263737297 is an equidigital number, since it uses as much as digits as its factorization.

105263737297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3333960, while the sum is 52.

The spelling of 105263737297 in words is "one hundred five billion, two hundred sixty-three million, seven hundred thirty-seven thousand, two hundred ninety-seven".