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106054985723 is a prime number
BaseRepresentation
bin110001011000101011…
…1101010011111111011
3101010202011011111011012
41202301113222133323
53214200034020343
6120415422224135
710443066335051
oct1426127523773
9333664144135
10106054985723
1140a83302535
121867972504b
13a0020bb02b
1451c12a41d1
152b5aad4718
hex18b15ea7fb

106054985723 has 2 divisors, whose sum is σ = 106054985724. Its totient is φ = 106054985722.

The previous prime is 106054985689. The next prime is 106054985767. The reversal of 106054985723 is 327589450601.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106054985723 - 216 = 106054920187 is a prime.

It is a super-2 number, since 2×1060549857232 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106054985423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53027492861 + 53027492862.

It is an arithmetic number, because the mean of its divisors is an integer number (53027492862).

It is a 1-persistent number, because it is pandigital, but 2⋅106054985723 = 212109971446 is not.

Almost surely, 2106054985723 is an apocalyptic number.

106054985723 is a deficient number, since it is larger than the sum of its proper divisors (1).

106054985723 is an equidigital number, since it uses as much as digits as its factorization.

106054985723 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 106054985723 in words is "one hundred six billion, fifty-four million, nine hundred eighty-five thousand, seven hundred twenty-three".