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106487612129 is a prime number
BaseRepresentation
bin110001100101100101…
…0000000001011100001
3101011212022020012000102
41203023022000023201
53221041312042004
6120530355032145
710456601524403
oct1431312001341
9334768205012
10106487612129
1141185532118
121877a59b655
13a070913ba2
14522291cb73
152b83a9011e
hex18cb2802e1

106487612129 has 2 divisors, whose sum is σ = 106487612130. Its totient is φ = 106487612128.

The previous prime is 106487612113. The next prime is 106487612141. The reversal of 106487612129 is 921216784601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96315881104 + 10171731025 = 310348^2 + 100855^2 .

It is a cyclic number.

It is not a de Polignac number, because 106487612129 - 24 = 106487612113 is a prime.

It is a super-2 number, since 2×1064876121292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106487612159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53243806064 + 53243806065.

It is an arithmetic number, because the mean of its divisors is an integer number (53243806065).

Almost surely, 2106487612129 is an apocalyptic number.

It is an amenable number.

106487612129 is a deficient number, since it is larger than the sum of its proper divisors (1).

106487612129 is an equidigital number, since it uses as much as digits as its factorization.

106487612129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 106487612129 in words is "one hundred six billion, four hundred eighty-seven million, six hundred twelve thousand, one hundred twenty-nine".