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106589183021 is a prime number
BaseRepresentation
bin110001101000100110…
…1011101110000101101
3101012010101100112002022
41203101031131300231
53221243312324041
6120544424035525
710462244051426
oct1432115356055
9335111315068
10106589183021
11412278a6902
12187a8602ba5
13a0889876c9
1452321dc64d
152b8c95524b
hex18d135dc2d

106589183021 has 2 divisors, whose sum is σ = 106589183022. Its totient is φ = 106589183020.

The previous prime is 106589183009. The next prime is 106589183069. The reversal of 106589183021 is 120381985601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103191925225 + 3397257796 = 321235^2 + 58286^2 .

It is a cyclic number.

It is not a de Polignac number, because 106589183021 - 218 = 106588920877 is a prime.

It is a super-2 number, since 2×1065891830212 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106589183081) 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, 53294591510 + 53294591511.

It is an arithmetic number, because the mean of its divisors is an integer number (53294591511).

Almost surely, 2106589183021 is an apocalyptic number.

It is an amenable number.

106589183021 is a deficient number, since it is larger than the sum of its proper divisors (1).

106589183021 is an equidigital number, since it uses as much as digits as its factorization.

106589183021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 106589183021 in words is "one hundred six billion, five hundred eighty-nine million, one hundred eighty-three thousand, twenty-one".