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106456504213 is a prime number
BaseRepresentation
bin110001100100101001…
…1010101011110010101
3101011210010200201222101
41203021103111132111
53221010331113323
6120523324202101
710456043232643
oct1431123253625
9334703621871
10106456504213
1141169a152a4
1218770099331
13a067341837
14521c742193
152b80e97dad
hex18c94d5795

106456504213 has 2 divisors, whose sum is σ = 106456504214. Its totient is φ = 106456504212.

The previous prime is 106456504201. The next prime is 106456504261. The reversal of 106456504213 is 312405654601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77193954244 + 29262549969 = 277838^2 + 171063^2 .

It is a cyclic number.

It is not a de Polignac number, because 106456504213 - 25 = 106456504181 is a prime.

It is a super-2 number, since 2×1064565042132 (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 (106456504013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53228252106 + 53228252107.

It is an arithmetic number, because the mean of its divisors is an integer number (53228252107).

Almost surely, 2106456504213 is an apocalyptic number.

It is an amenable number.

106456504213 is a deficient number, since it is larger than the sum of its proper divisors (1).

106456504213 is an equidigital number, since it uses as much as digits as its factorization.

106456504213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 106456504213 in words is "one hundred six billion, four hundred fifty-six million, five hundred four thousand, two hundred thirteen".