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106906421621 is a prime number
BaseRepresentation
bin110001110010000011…
…1101000100101110101
3101012221111021220122002
41203210013220211311
53222421020442441
6121040115345045
710503145406336
oct1434407504565
9335844256562
10106906421621
114137a98496a
12188768b2185
13a10960ca5c
1452623bc28d
152baa71bb9b
hex18e41e8975

106906421621 has 2 divisors, whose sum is σ = 106906421622. Its totient is φ = 106906421620.

The previous prime is 106906421603. The next prime is 106906421623. The reversal of 106906421621 is 126124609601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102025303396 + 4881118225 = 319414^2 + 69865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106906421621 is a prime.

It is a super-2 number, since 2×1069064216212 (a number of 23 digits) contains 22 as substring.

Together with 106906421623, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106906421623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53453210810 + 53453210811.

It is an arithmetic number, because the mean of its divisors is an integer number (53453210811).

Almost surely, 2106906421621 is an apocalyptic number.

It is an amenable number.

106906421621 is a deficient number, since it is larger than the sum of its proper divisors (1).

106906421621 is an equidigital number, since it uses as much as digits as its factorization.

106906421621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 106906421621 in words is "one hundred six billion, nine hundred six million, four hundred twenty-one thousand, six hundred twenty-one".