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106165001 is a prime number
BaseRepresentation
bin1100101001111…
…11001100001001
321101202202000002
412110333030021
5204134240001
614311252345
72426246645
oct624771411
9241682002
10106165001
1154a22378
122b67a0b5
1318cc1937
1410157c25
1594c146b
hex653f309

106165001 has 2 divisors, whose sum is σ = 106165002. Its totient is φ = 106165000.

The previous prime is 106164977. The next prime is 106165021. The reversal of 106165001 is 100561601.

It is a happy number.

It is an a-pointer prime, because the next prime (106165021) can be obtained adding 106165001 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98982601 + 7182400 = 9949^2 + 2680^2 .

It is a cyclic number.

It is not a de Polignac number, because 106165001 - 26 = 106164937 is a prime.

It is a super-2 number, since 2×1061650012 = 22542014874660002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106165021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53082500 + 53082501.

It is an arithmetic number, because the mean of its divisors is an integer number (53082501).

Almost surely, 2106165001 is an apocalyptic number.

It is an amenable number.

106165001 is a deficient number, since it is larger than the sum of its proper divisors (1).

106165001 is an equidigital number, since it uses as much as digits as its factorization.

106165001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 106165001 is about 10303.6401819939. The cubic root of 106165001 is about 473.5077839524.

The spelling of 106165001 in words is "one hundred six million, one hundred sixty-five thousand, one".