Search a number
-
+
106562760181 is a prime number
BaseRepresentation
bin110001100111110100…
…0101010110111110101
3101012001112122002202121
41203033220222313311
53221220031311211
6120542041435541
710461503342053
oct1431750526765
9335045562677
10106562760181
1141213999a49
121879b79bbb1
13a0833659a7
14522c8c11d3
152b8a486271
hex18cfa2adf5

106562760181 has 2 divisors, whose sum is σ = 106562760182. Its totient is φ = 106562760180.

The previous prime is 106562760179. The next prime is 106562760193. The reversal of 106562760181 is 181067265601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99168308100 + 7394452081 = 314910^2 + 85991^2 .

It is a cyclic number.

It is not a de Polignac number, because 106562760181 - 21 = 106562760179 is a prime.

It is a super-2 number, since 2×1065627601812 (a number of 23 digits) contains 22 as substring.

Together with 106562760179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106562760481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53281380090 + 53281380091.

It is an arithmetic number, because the mean of its divisors is an integer number (53281380091).

Almost surely, 2106562760181 is an apocalyptic number.

It is an amenable number.

106562760181 is a deficient number, since it is larger than the sum of its proper divisors (1).

106562760181 is an equidigital number, since it uses as much as digits as its factorization.

106562760181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 106562760181 in words is "one hundred six billion, five hundred sixty-two million, seven hundred sixty thousand, one hundred eighty-one".