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106405202581 is a prime number
BaseRepresentation
bin110001100011000111…
…1101000101010010101
3101011122120011100100221
41203012033220222111
53220404212440311
6120514252434341
710454551204336
oct1430617505225
9334576140327
10106405202581
1141142a65657
1218756a789b1
13a05981bb42
1452159ca28d
152b7b712671
hex18c63e8a95

106405202581 has 2 divisors, whose sum is σ = 106405202582. Its totient is φ = 106405202580.

The previous prime is 106405202569. The next prime is 106405202591. The reversal of 106405202581 is 185202504601.

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., 55676649681 + 50728552900 = 235959^2 + 225230^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106405202581 is a prime.

It is a super-2 number, since 2×1064052025812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106405202521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53202601290 + 53202601291.

It is an arithmetic number, because the mean of its divisors is an integer number (53202601291).

Almost surely, 2106405202581 is an apocalyptic number.

It is an amenable number.

106405202581 is a deficient number, since it is larger than the sum of its proper divisors (1).

106405202581 is an equidigital number, since it uses as much as digits as its factorization.

106405202581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 106405202581 in words is "one hundred six billion, four hundred five million, two hundred two thousand, five hundred eighty-one".