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106444601 is a prime number
BaseRepresentation
bin1100101100000…
…11011100111001
321102021221112122
412112003130321
5204222211401
614321251025
72431523054
oct626033471
9242257478
10106444601
11550a344a
122b793a75
131908bc93
14101cba9b
15952921b
hex6583739

106444601 has 2 divisors, whose sum is σ = 106444602. Its totient is φ = 106444600.

The previous prime is 106444589. The next prime is 106444603.

106444601 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69222400 + 37222201 = 8320^2 + 6101^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 106444601 - 210 = 106443577 is a prime.

It is a super-2 number, since 2×1064446012 = 22660906164098402, which contains 22 as substring.

Together with 106444603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106444603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53222300 + 53222301.

It is an arithmetic number, because the mean of its divisors is an integer number (53222301).

Almost surely, 2106444601 is an apocalyptic number.

It is an amenable number.

106444601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106444601 is an equidigital number, since it uses as much as digits as its factorization.

106444601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 106444601 is about 10317.1992808126. The cubic root of 106444601 is about 473.9231019954.

The spelling of 106444601 in words is "one hundred six million, four hundred forty-four thousand, six hundred one".