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106562760193 is a prime number
BaseRepresentation
bin110001100111110100…
…0101010111000000001
3101012001112122002210001
41203033220222320001
53221220031311233
6120542041440001
710461503342101
oct1431750527001
9335045562701
10106562760193
1141213999a5a
121879b7a0001
13a0833659b6
14522c8c1201
152b8a48627d
hex18cfa2ae01

106562760193 has 2 divisors, whose sum is σ = 106562760194. Its totient is φ = 106562760192.

The previous prime is 106562760181. The next prime is 106562760211. The reversal of 106562760193 is 391067265601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86167492849 + 20395267344 = 293543^2 + 142812^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106562760193 is a prime.

It is a super-2 number, since 2×1065627601932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106562764193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53281380096 + 53281380097.

It is an arithmetic number, because the mean of its divisors is an integer number (53281380097).

Almost surely, 2106562760193 is an apocalyptic number.

It is an amenable number.

106562760193 is a deficient number, since it is larger than the sum of its proper divisors (1).

106562760193 is an equidigital number, since it uses as much as digits as its factorization.

106562760193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 106562760193 in words is "one hundred six billion, five hundred sixty-two million, seven hundred sixty thousand, one hundred ninety-three".