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106165514593 is a prime number
BaseRepresentation
bin110001011011111110…
…1010011000101100001
3101011000212010221021001
41202313331103011201
53214411332431333
6120434411232001
710445610661465
oct1426775230541
9334025127231
10106165514593
114102a735506
12186aa748601
13a01bc7a028
1451d1c364a5
152b65668b7d
hex18b7f53161

106165514593 has 2 divisors, whose sum is σ = 106165514594. Its totient is φ = 106165514592.

The previous prime is 106165514591. The next prime is 106165514603. The reversal of 106165514593 is 395415561601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84281637969 + 21883876624 = 290313^2 + 147932^2 .

It is an emirp because it is prime and its reverse (395415561601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106165514593 - 21 = 106165514591 is a prime.

It is a super-2 number, since 2×1061655145932 (a number of 23 digits) contains 22 as substring.

Together with 106165514591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106165514591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53082757296 + 53082757297.

It is an arithmetic number, because the mean of its divisors is an integer number (53082757297).

Almost surely, 2106165514593 is an apocalyptic number.

It is an amenable number.

106165514593 is a deficient number, since it is larger than the sum of its proper divisors (1).

106165514593 is an equidigital number, since it uses as much as digits as its factorization.

106165514593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486000, while the sum is 46.

The spelling of 106165514593 in words is "one hundred six billion, one hundred sixty-five million, five hundred fourteen thousand, five hundred ninety-three".