Search a number
-
+
106681577039 is a prime number
BaseRepresentation
bin110001101011010110…
…1111010111001001111
3101012100211012121211222
41203112231322321033
53221440440431124
6121001524233555
710464445304642
oct1432655727117
9335324177758
10106681577039
1141274a728a4
121881353b8bb
13a0a1b6721b
1452405ada59
152b95b0625e
hex18d6b7ae4f

106681577039 has 2 divisors, whose sum is σ = 106681577040. Its totient is φ = 106681577038.

The previous prime is 106681576997. The next prime is 106681577053. The reversal of 106681577039 is 930775186601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106681577039 - 220 = 106680528463 is a prime.

It is a super-2 number, since 2×1066815770392 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106681577239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53340788519 + 53340788520.

It is an arithmetic number, because the mean of its divisors is an integer number (53340788520).

Almost surely, 2106681577039 is an apocalyptic number.

106681577039 is a deficient number, since it is larger than the sum of its proper divisors (1).

106681577039 is an equidigital number, since it uses as much as digits as its factorization.

106681577039 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 106681577039 in words is "one hundred six billion, six hundred eighty-one million, five hundred seventy-seven thousand, thirty-nine".