106100556055561 has 2 divisors, whose sum is σ = 106100556055562. Its totient is φ = 106100556055560.

The previous prime is 106100556055553. The next prime is 106100556055567. The reversal of 106100556055561 is 165550655001601.

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., 87786949341961 + 18313606713600 = 9369469^2 + 4279440^2 .

It is a cyclic number.

It is not a de Polignac number, because 106100556055561 - 2³ = 106100556055553 is a prime.

It is a super-2 number, since 2×106100556055561² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106100556055567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050278027780 + 53050278027781.

It is an arithmetic number, because the mean of its divisors is an integer number (53050278027781).

Almost surely, 2^{106100556055561} is an apocalyptic number.

It is an amenable number.

106100556055561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106100556055561 is an equidigital number, since it uses as much as digits as its factorization.

106100556055561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 675000, while the sum is 46.

The spelling of 106100556055561 in words is "one hundred six trillion, one hundred billion, five hundred fifty-six million, fifty-five thousand, five hundred sixty-one".