106293004289 has 2 divisors, whose sum is σ = 106293004290. Its totient is φ = 106293004288.

The previous prime is 106293004267. The next prime is 106293004313. The reversal of 106293004289 is 982400392601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73129680625 + 33163323664 = 270425^2 + 182108^2 .

It is an emirp because it is prime and its reverse (982400392601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106293004289 - 2³⁶ = 37573527553 is a prime.

It is a super-2 number, since 2×106293004289² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106293004229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53146502144 + 53146502145.

It is an arithmetic number, because the mean of its divisors is an integer number (53146502145).

Almost surely, 2^106293004289 is an apocalyptic number.

It is an amenable number.

106293004289 is a deficient number, since it is larger than the sum of its proper divisors (1).

106293004289 is an equidigital number, since it uses as much as digits as its factorization.

106293004289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 106293004289 in words is "one hundred six billion, two hundred ninety-three million, four thousand, two hundred eighty-nine".