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106840579757 is a prime number
BaseRepresentation
bin110001110000000110…
…0011101111010101101
3101012202220101210120112
41203200030131322231
53222302142023012
6121025404225405
710501415641502
oct1434014357255
9335686353515
10106840579757
11413467a39aa
121885883b265
13a0c8a98a82
14525775d4a9
152ba4a63122
hex18e031dead

106840579757 has 2 divisors, whose sum is σ = 106840579758. Its totient is φ = 106840579756.

The previous prime is 106840579661. The next prime is 106840579789. The reversal of 106840579757 is 757975048601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102023386921 + 4817192836 = 319411^2 + 69406^2 .

It is an emirp because it is prime and its reverse (757975048601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106840579757 - 212 = 106840575661 is a prime.

It is a super-2 number, since 2×1068405797572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106840579696 and 106840579705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106840579057) 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, 53420289878 + 53420289879.

It is an arithmetic number, because the mean of its divisors is an integer number (53420289879).

Almost surely, 2106840579757 is an apocalyptic number.

It is an amenable number.

106840579757 is a deficient number, since it is larger than the sum of its proper divisors (1).

106840579757 is an equidigital number, since it uses as much as digits as its factorization.

106840579757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14817600, while the sum is 59.

The spelling of 106840579757 in words is "one hundred six billion, eight hundred forty million, five hundred seventy-nine thousand, seven hundred fifty-seven".