106011010673 has 2 divisors, whose sum is σ = 106011010674. Its totient is φ = 106011010672.

The previous prime is 106011010607. The next prime is 106011010691. The reversal of 106011010673 is 376010110601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70128043489 + 35882967184 = 264817^2 + 189428^2 .

It is a cyclic number.

It is not a de Polignac number, because 106011010673 - 2²⁶ = 105943901809 is a prime.

It is a super-2 number, since 2×106011010673² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106011010603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53005505336 + 53005505337.

It is an arithmetic number, because the mean of its divisors is an integer number (53005505337).

Almost surely, 2^106011010673 is an apocalyptic number.

It is an amenable number.

106011010673 is a deficient number, since it is larger than the sum of its proper divisors (1).

106011010673 is an equidigital number, since it uses as much as digits as its factorization.

106011010673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 26.

The spelling of 106011010673 in words is "one hundred six billion, eleven million, ten thousand, six hundred seventy-three".