106012146089761 has 2 divisors, whose sum is σ = 106012146089762. Its totient is φ = 106012146089760.

The previous prime is 106012146089747. The next prime is 106012146089807. The reversal of 106012146089761 is 167980641210601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100796700539536 + 5215445550225 = 10039756^2 + 2283735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106012146089761 is a prime.

It is a super-2 number, since 2×106012146089761² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106012146089699 and 106012146089708.

It is not a weakly prime, because it can be changed into another prime (106012146089701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53006073044880 + 53006073044881.

It is an arithmetic number, because the mean of its divisors is an integer number (53006073044881).

Almost surely, 2^{106012146089761} is an apocalyptic number.

It is an amenable number.

106012146089761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106012146089761 is an equidigital number, since it uses as much as digits as its factorization.

106012146089761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 106012146089761 in words is "one hundred six trillion, twelve billion, one hundred forty-six million, eighty-nine thousand, seven hundred sixty-one".