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106056105593 is a prime number
BaseRepresentation
bin110001011000101101…
…1111011111001111001
3101010202020021101022212
41202301123323321321
53214200330334333
6120415502224505
710443112011014
oct1426133737171
9333666241285
10106056105593
1140a839a7949
1218679b85135
13a0023c0989
1451c14b637b
152b5ac56448
hex18b16fbe79

106056105593 has 2 divisors, whose sum is σ = 106056105594. Its totient is φ = 106056105592.

The previous prime is 106056105587. The next prime is 106056105691. The reversal of 106056105593 is 395501650601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85700806009 + 20355299584 = 292747^2 + 142672^2 .

It is a cyclic number.

It is not a de Polignac number, because 106056105593 - 24 = 106056105577 is a prime.

It is a super-2 number, since 2×1060561055932 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106056105593.

It is not a weakly prime, because it can be changed into another prime (106056105563) 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, 53028052796 + 53028052797.

It is an arithmetic number, because the mean of its divisors is an integer number (53028052797).

Almost surely, 2106056105593 is an apocalyptic number.

It is an amenable number.

106056105593 is a deficient number, since it is larger than the sum of its proper divisors (1).

106056105593 is an equidigital number, since it uses as much as digits as its factorization.

106056105593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121500, while the sum is 41.

The spelling of 106056105593 in words is "one hundred six billion, fifty-six million, one hundred five thousand, five hundred ninety-three".