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106118801053 is a prime number
BaseRepresentation
bin110001011010100101…
…1000110011010011101
3101010220121020122022221
41202311023012122131
53214312403113203
6120430022105341
710444502632426
oct1426513063235
9333817218287
10106118801053
1141006329981
1218696b7b251
13a0123a2795
1451c995664d
152b614dcabd
hex18b52c669d

106118801053 has 2 divisors, whose sum is σ = 106118801054. Its totient is φ = 106118801052.

The previous prime is 106118801051. The next prime is 106118801119. The reversal of 106118801053 is 350108811601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72497178009 + 33621623044 = 269253^2 + 183362^2 .

It is an emirp because it is prime and its reverse (350108811601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106118801053 - 21 = 106118801051 is a prime.

It is a super-2 number, since 2×1061188010532 (a number of 23 digits) contains 22 as substring.

Together with 106118801051, 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 (106118801051) 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, 53059400526 + 53059400527.

It is an arithmetic number, because the mean of its divisors is an integer number (53059400527).

Almost surely, 2106118801053 is an apocalyptic number.

It is an amenable number.

106118801053 is a deficient number, since it is larger than the sum of its proper divisors (1).

106118801053 is an equidigital number, since it uses as much as digits as its factorization.

106118801053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 106118801053 in words is "one hundred six billion, one hundred eighteen million, eight hundred one thousand, fifty-three".