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106687829629 is a prime number
BaseRepresentation
bin110001101011100010…
…1110001011001111101
3101012101020222021210101
41203113011301121331
53221444041022004
6121002310241101
710464552406033
oct1432705613175
9335336867711
10106687829629
1141278553527
1218815656191
13a0a3246194
14524135a553
152b9643dba4
hex18d717167d

106687829629 has 2 divisors, whose sum is σ = 106687829630. Its totient is φ = 106687829628.

The previous prime is 106687829597. The next prime is 106687829659. The reversal of 106687829629 is 926928786601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106666253604 + 21576025 = 326598^2 + 4645^2 .

It is a cyclic number.

It is not a de Polignac number, because 106687829629 - 25 = 106687829597 is a prime.

It is a super-2 number, since 2×1066878296292 (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 (106687829659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53343914814 + 53343914815.

It is an arithmetic number, because the mean of its divisors is an integer number (53343914815).

Almost surely, 2106687829629 is an apocalyptic number.

It is an amenable number.

106687829629 is a deficient number, since it is larger than the sum of its proper divisors (1).

106687829629 is an equidigital number, since it uses as much as digits as its factorization.

106687829629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 106687829629 in words is "one hundred six billion, six hundred eighty-seven million, eight hundred twenty-nine thousand, six hundred twenty-nine".