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106748637757 is a prime number
BaseRepresentation
bin110001101101010110…
…1101111001000111101
3101012112111101122212021
41203122231233020331
53222110122402012
6121012321440141
710466221310146
oct1433255571075
9335474348767
10106748637757
11412a9906583
1218831aa0051
13a0b2a16c18
145249468acd
152b9b951007
hex18dab6f23d

106748637757 has 2 divisors, whose sum is σ = 106748637758. Its totient is φ = 106748637756.

The previous prime is 106748637701. The next prime is 106748637767. The reversal of 106748637757 is 757736847601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72113194521 + 34635443236 = 268539^2 + 186106^2 .

It is a cyclic number.

It is not a de Polignac number, because 106748637757 - 211 = 106748635709 is a prime.

It is a super-2 number, since 2×1067486377572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106748637695 and 106748637704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106748637767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53374318878 + 53374318879.

It is an arithmetic number, because the mean of its divisors is an integer number (53374318879).

Almost surely, 2106748637757 is an apocalyptic number.

It is an amenable number.

106748637757 is a deficient number, since it is larger than the sum of its proper divisors (1).

106748637757 is an equidigital number, since it uses as much as digits as its factorization.

106748637757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41489280, while the sum is 61.

The spelling of 106748637757 in words is "one hundred six billion, seven hundred forty-eight million, six hundred thirty-seven thousand, seven hundred fifty-seven".