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106005111673 is a prime number
BaseRepresentation
bin110001010111001100…
…1011010001101111001
3101010121200022121211011
41202232121122031321
53214044302033143
6120410441233521
710441622403466
oct1425631321571
9333550277734
10106005111673
1140a5813840a
1218664a928a1
139cc4978066
1451b880066d
152b56531e9d
hex18ae65a379

106005111673 has 2 divisors, whose sum is σ = 106005111674. Its totient is φ = 106005111672.

The previous prime is 106005111659. The next prime is 106005111727. The reversal of 106005111673 is 376111500601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64096061584 + 41909050089 = 253172^2 + 204717^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005111673 - 221 = 106003014521 is a prime.

It is a super-2 number, since 2×1060051116732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106005111473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002555836 + 53002555837.

It is an arithmetic number, because the mean of its divisors is an integer number (53002555837).

Almost surely, 2106005111673 is an apocalyptic number.

It is an amenable number.

106005111673 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005111673 is an equidigital number, since it uses as much as digits as its factorization.

106005111673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 106005111673 in words is "one hundred six billion, five million, one hundred eleven thousand, six hundred seventy-three".