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106188493417 is a prime number
BaseRepresentation
bin110001011100101010…
…0111101001001101001
3101011002110101101021121
41202321110331021221
53214433223242132
6120440551535241
710446310205236
oct1427124751151
9334073341247
10106188493417
11410416aa876
12186b638a521
13a023964276
1451d4cd878d
152b676a7497
hex18b953d269

106188493417 has 2 divisors, whose sum is σ = 106188493418. Its totient is φ = 106188493416.

The previous prime is 106188493403. The next prime is 106188493447. The reversal of 106188493417 is 714394881601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105171138601 + 1017354816 = 324301^2 + 31896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106188493417 is a prime.

It is a super-2 number, since 2×1061884934172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106188493447) 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, 53094246708 + 53094246709.

It is an arithmetic number, because the mean of its divisors is an integer number (53094246709).

Almost surely, 2106188493417 is an apocalyptic number.

It is an amenable number.

106188493417 is a deficient number, since it is larger than the sum of its proper divisors (1).

106188493417 is an equidigital number, since it uses as much as digits as its factorization.

106188493417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 106188493417 in words is "one hundred six billion, one hundred eighty-eight million, four hundred ninety-three thousand, four hundred seventeen".