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106014105641 is a prime number
BaseRepresentation
bin110001010111011101…
…1101110000000101001
3101010122022020120020002
41202232323232000221
53214104102340031
6120411402112345
710442062013123
oct1425673560051
9333568216202
10106014105641
1140a62220744
1218667aab6b5
139cc67a6a32
1451b9aa2213
152b5720bccb
hex18aeeee029

106014105641 has 2 divisors, whose sum is σ = 106014105642. Its totient is φ = 106014105640.

The previous prime is 106014105619. The next prime is 106014105647. The reversal of 106014105641 is 146501410601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105986058025 + 28047616 = 325555^2 + 5296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106014105641 is a prime.

It is a super-2 number, since 2×1060141056412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106014105647) 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, 53007052820 + 53007052821.

It is an arithmetic number, because the mean of its divisors is an integer number (53007052821).

Almost surely, 2106014105641 is an apocalyptic number.

It is an amenable number.

106014105641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106014105641 is an equidigital number, since it uses as much as digits as its factorization.

106014105641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 106014105641 in words is "one hundred six billion, fourteen million, one hundred five thousand, six hundred forty-one".