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106046641 is a prime number
BaseRepresentation
bin1100101001000…
…10010010110001
321101112201122101
412110202102301
5204121443031
614304540401
72425244611
oct624422261
9241481571
10106046641
1154951458
122b621701
1318c7cabc
1410126a41
15949b361
hex65224b1

106046641 has 2 divisors, whose sum is σ = 106046642. Its totient is φ = 106046640.

The previous prime is 106046627. The next prime is 106046653. The reversal of 106046641 is 146640601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104346225 + 1700416 = 10215^2 + 1304^2 .

It is a cyclic number.

It is not a de Polignac number, because 106046641 - 211 = 106044593 is a prime.

It is a super-2 number, since 2×1060466412 = 22491780134765762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106046621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53023320 + 53023321.

It is an arithmetic number, because the mean of its divisors is an integer number (53023321).

Almost surely, 2106046641 is an apocalyptic number.

It is an amenable number.

106046641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106046641 is an equidigital number, since it uses as much as digits as its factorization.

106046641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 106046641 is about 10297.8949790722. The cubic root of 106046641 is about 473.3317522374.

The spelling of 106046641 in words is "one hundred six million, forty-six thousand, six hundred forty-one".