Search a number
-
+
105971398859 is a prime number
BaseRepresentation
bin110001010110001100…
…0110011100011001011
3101010112022212211112102
41202230120303203023
53214012134230414
6120403234504015
710441033012424
oct1425430634313
9333468784472
10105971398859
1140a40101487
121865573500b
139cba9a3151
1451b414664b
152b535c2ede
hex18ac6338cb

105971398859 has 2 divisors, whose sum is σ = 105971398860. Its totient is φ = 105971398858.

The previous prime is 105971398847. The next prime is 105971398861. The reversal of 105971398859 is 958893179501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105971398859 is a prime.

It is a super-2 number, since 2×1059713988592 (a number of 23 digits) contains 22 as substring.

Together with 105971398861, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105971398795 and 105971398804.

It is not a weakly prime, because it can be changed into another prime (105971358859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52985699429 + 52985699430.

It is an arithmetic number, because the mean of its divisors is an integer number (52985699430).

Almost surely, 2105971398859 is an apocalyptic number.

105971398859 is a deficient number, since it is larger than the sum of its proper divisors (1).

105971398859 is an equidigital number, since it uses as much as digits as its factorization.

105971398859 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24494400, while the sum is 65.

The spelling of 105971398859 in words is "one hundred five billion, nine hundred seventy-one million, three hundred ninety-eight thousand, eight hundred fifty-nine".