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106687829597 is a prime number
BaseRepresentation
bin110001101011100010…
…1110001011001011101
3101012101020222021202012
41203113011301121131
53221444041021342
6121002310241005
710464552405656
oct1432705613135
9335336867665
10106687829597
11412785534a8
1218815656165
13a0a324616b
14524135a52d
152b9643db82
hex18d717165d

106687829597 has 2 divisors, whose sum is σ = 106687829598. Its totient is φ = 106687829596.

The previous prime is 106687829579. The next prime is 106687829629. The reversal of 106687829597 is 795928786601.

It is a happy number.

Together with previous prime (106687829579) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64543434916 + 42144394681 = 254054^2 + 205291^2 .

It is a cyclic number.

It is not a de Polignac number, because 106687829597 - 214 = 106687813213 is a prime.

It is a super-2 number, since 2×1066878295972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106687829557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53343914798 + 53343914799.

It is an arithmetic number, because the mean of its divisors is an integer number (53343914799).

Almost surely, 2106687829597 is an apocalyptic number.

It is an amenable number.

106687829597 is a deficient number, since it is larger than the sum of its proper divisors (1).

106687829597 is an equidigital number, since it uses as much as digits as its factorization.

106687829597 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 91445760, while the sum is 68.

The spelling of 106687829597 in words is "one hundred six billion, six hundred eighty-seven million, eight hundred twenty-nine thousand, five hundred ninety-seven".