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106807154761 is a prime number
BaseRepresentation
bin110001101111000110…
…0111101100001001001
3101012200120111122002201
41203132030331201021
53222220112423021
6121022212000201
710500531556516
oct1433614754111
9335616448081
10106807154761
114132994423a
1218849600061
13a0c1b94b78
14525313c30d
152ba1b5e591
hex18de33d849

106807154761 has 2 divisors, whose sum is σ = 106807154762. Its totient is φ = 106807154760.

The previous prime is 106807154747. The next prime is 106807154777. The reversal of 106807154761 is 167451708601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95898605625 + 10908549136 = 309675^2 + 104444^2 .

It is an emirp because it is prime and its reverse (167451708601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106807154761 - 233 = 98217220169 is a prime.

It is a super-2 number, since 2×1068071547612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106807154731) 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, 53403577380 + 53403577381.

It is an arithmetic number, because the mean of its divisors is an integer number (53403577381).

Almost surely, 2106807154761 is an apocalyptic number.

It is an amenable number.

106807154761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106807154761 is an equidigital number, since it uses as much as digits as its factorization.

106807154761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 106807154761 in words is "one hundred six billion, eight hundred seven million, one hundred fifty-four thousand, seven hundred sixty-one".