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106101056359 is a prime number
BaseRepresentation
bin110001011010000011…
…1011010001101100111
3101010212100212010012001
41202310013122031213
53214243332300414
6120424145510131
710444166045554
oct1426407321547
9333770763161
10106101056359
1140aa730a041
1218691042347
13a00b7cba6c
1451c7457a2b
152b5eb85074
hex18b41da367

106101056359 has 2 divisors, whose sum is σ = 106101056360. Its totient is φ = 106101056358.

The previous prime is 106101056357. The next prime is 106101056377. The reversal of 106101056359 is 953650101601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106101056359 - 21 = 106101056357 is a prime.

It is a super-2 number, since 2×1061010563592 (a number of 23 digits) contains 22 as substring.

Together with 106101056357, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106101056357) 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, 53050528179 + 53050528180.

It is an arithmetic number, because the mean of its divisors is an integer number (53050528180).

Almost surely, 2106101056359 is an apocalyptic number.

106101056359 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101056359 is an equidigital number, since it uses as much as digits as its factorization.

106101056359 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24300, while the sum is 37.

The spelling of 106101056359 in words is "one hundred six billion, one hundred one million, fifty-six thousand, three hundred fifty-nine".