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100106110057 is a prime number
BaseRepresentation
bin101110100111011001…
…0100000010001101001
3100120101120022021212211
41131032302200101221
53120004131010212
6113553233205121
710142502616162
oct1351662402151
9316346267784
10100106110057
1139500320168
12174994007a1
1395947b2365
144bb91a2769
15290d6e99a7
hex174eca0469

100106110057 has 2 divisors, whose sum is σ = 100106110058. Its totient is φ = 100106110056.

The previous prime is 100106110051. The next prime is 100106110073. The reversal of 100106110057 is 750011601001.

Adding to 100106110057 its reverse (750011601001), we get a palindrome (850117711058).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86661939456 + 13444170601 = 294384^2 + 115949^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106110057 - 235 = 65746371689 is a prime.

It is not a weakly prime, because it can be changed into another prime (100106110051) 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, 50053055028 + 50053055029.

It is an arithmetic number, because the mean of its divisors is an integer number (50053055029).

Almost surely, 2100106110057 is an apocalyptic number.

It is an amenable number.

100106110057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106110057 is an equidigital number, since it uses as much as digits as its factorization.

100106110057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 22.

The spelling of 100106110057 in words is "one hundred billion, one hundred six million, one hundred ten thousand, fifty-seven".