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106929577 is a prime number
BaseRepresentation
bin1100101111110…
…01110110101001
321110012120210201
412113321312221
5204333221302
614335512201
72435613016
oct627716651
9243176721
10106929577
11553a4857
122b988661
13191cb951
14102b670d
1595c2c87
hex65f9da9

106929577 has 2 divisors, whose sum is σ = 106929578. Its totient is φ = 106929576.

The previous prime is 106929547. The next prime is 106929601. The reversal of 106929577 is 775929601.

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., 104530176 + 2399401 = 10224^2 + 1549^2 .

It is an emirp because it is prime and its reverse (775929601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106929577 is a prime.

It is a super-2 number, since 2×1069295772 = 22867868874797858, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106929547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53464788 + 53464789.

It is an arithmetic number, because the mean of its divisors is an integer number (53464789).

Almost surely, 2106929577 is an apocalyptic number.

It is an amenable number.

106929577 is a deficient number, since it is larger than the sum of its proper divisors (1).

106929577 is an equidigital number, since it uses as much as digits as its factorization.

106929577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 238140, while the sum is 46.

The square root of 106929577 is about 10340.6758483186. The cubic root of 106929577 is about 474.6417642425.

The spelling of 106929577 in words is "one hundred six million, nine hundred twenty-nine thousand, five hundred seventy-seven".