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106045601 is a prime number
BaseRepresentation
bin1100101001000…
…10000010100001
321101112200012212
412110202002201
5204121424401
614304531505
72425241564
oct624420241
9241480185
10106045601
11549506a2
122b620b95
1318c7c49c
14101264db
15949adbb
hex65220a1

106045601 has 2 divisors, whose sum is σ = 106045602. Its totient is φ = 106045600.

The previous prime is 106045579. The next prime is 106045603. The reversal of 106045601 is 106540601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84180625 + 21864976 = 9175^2 + 4676^2 .

It is an emirp because it is prime and its reverse (106540601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106045601 - 222 = 101851297 is a prime.

It is a super-2 number, since 2×1060456012 = 22491338982902402, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 106045603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106045603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53022800 + 53022801.

It is an arithmetic number, because the mean of its divisors is an integer number (53022801).

Almost surely, 2106045601 is an apocalyptic number.

It is an amenable number.

106045601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106045601 is an equidigital number, since it uses as much as digits as its factorization.

106045601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 106045601 is about 10297.8444831916. The cubic root of 106045601 is about 473.3302049100.

The spelling of 106045601 in words is "one hundred six million, forty-five thousand, six hundred one".