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106103686123 is a prime number
BaseRepresentation
bin110001011010001000…
…1011100001111101011
3101010212112210201112201
41202310101130033223
53214300020423443
6120424322121031
710444230310531
oct1426421341753
9333775721481
10106103686123
1140aa88458a6
1218691ab0177
13a00c20ca36
1451c7940151
152b6000434d
hex18b445c3eb

106103686123 has 2 divisors, whose sum is σ = 106103686124. Its totient is φ = 106103686122.

The previous prime is 106103686079. The next prime is 106103686153. The reversal of 106103686123 is 321686301601.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106103686123 is a prime.

It is a super-2 number, since 2×1061036861232 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106103686153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53051843061 + 53051843062.

It is an arithmetic number, because the mean of its divisors is an integer number (53051843062).

Almost surely, 2106103686123 is an apocalyptic number.

106103686123 is a deficient number, since it is larger than the sum of its proper divisors (1).

106103686123 is an equidigital number, since it uses as much as digits as its factorization.

106103686123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 106103686123 its reverse (321686301601), we get a palindrome (427789987724).

The spelling of 106103686123 in words is "one hundred six billion, one hundred three million, six hundred eighty-six thousand, one hundred twenty-three".