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106049737 is a prime number
BaseRepresentation
bin1100101001000…
…11000011001001
321101112212220001
412110203003021
5204122042422
614305003001
72425256623
oct624430311
9241485801
10106049737
1154953812
122b623461
1318c81331
1410127c13
15949c227
hex65230c9

106049737 has 2 divisors, whose sum is σ = 106049738. Its totient is φ = 106049736.

The previous prime is 106049701. The next prime is 106049747. The reversal of 106049737 is 737940601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58660281 + 47389456 = 7659^2 + 6884^2 .

It is a cyclic number.

It is not a de Polignac number, because 106049737 - 215 = 106016969 is a prime.

It is a super-2 number, since 2×1060497372 = 22493093435538338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106049696 and 106049705.

It is not a weakly prime, because it can be changed into another prime (106049747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53024868 + 53024869.

It is an arithmetic number, because the mean of its divisors is an integer number (53024869).

Almost surely, 2106049737 is an apocalyptic number.

It is an amenable number.

106049737 is a deficient number, since it is larger than the sum of its proper divisors (1).

106049737 is an equidigital number, since it uses as much as digits as its factorization.

106049737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 106049737 is about 10298.0452999586. The cubic root of 106049737 is about 473.3363584523.

The spelling of 106049737 in words is "one hundred six million, forty-nine thousand, seven hundred thirty-seven".