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106006601749 is a prime number
BaseRepresentation
bin110001010111001111…
…1000110000000010101
3101010121210010022211011
41202232133012000111
53214100142223444
6120410533212221
710441641150646
oct1425637060025
9333553108734
10106006601749
1140a58a65984
1218665491071
139cc507a369
1451b8aab6cd
152b56728734
hex18ae7c6015

106006601749 has 2 divisors, whose sum is σ = 106006601750. Its totient is φ = 106006601748.

The previous prime is 106006601731. The next prime is 106006601761. The reversal of 106006601749 is 947106600601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77877274225 + 28129327524 = 279065^2 + 167718^2 .

It is a cyclic number.

It is not a de Polignac number, because 106006601749 - 29 = 106006601237 is a prime.

It is a super-2 number, since 2×1060066017492 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106006601549) 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, 53003300874 + 53003300875.

It is an arithmetic number, because the mean of its divisors is an integer number (53003300875).

Almost surely, 2106006601749 is an apocalyptic number.

It is an amenable number.

106006601749 is a deficient number, since it is larger than the sum of its proper divisors (1).

106006601749 is an equidigital number, since it uses as much as digits as its factorization.

106006601749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 106006601749 in words is "one hundred six billion, six million, six hundred one thousand, seven hundred forty-nine".