106784825261 has 2 divisors, whose sum is σ = 106784825262. Its totient is φ = 106784825260.

The previous prime is 106784825207. The next prime is 106784825309. The reversal of 106784825261 is 162528487601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101040701161 + 5744124100 = 317869^2 + 75790^2 .

It is an emirp because it is prime and its reverse (162528487601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106784825261 - 2¹⁴ = 106784808877 is a prime.

It is a super-2 number, since 2×106784825261² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106784825561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53392412630 + 53392412631.

It is an arithmetic number, because the mean of its divisors is an integer number (53392412631).

Almost surely, 2^106784825261 is an apocalyptic number.

It is an amenable number.

106784825261 is a deficient number, since it is larger than the sum of its proper divisors (1).

106784825261 is an equidigital number, since it uses as much as digits as its factorization.

106784825261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 106784825261 in words is "one hundred six billion, seven hundred eighty-four million, eight hundred twenty-five thousand, two hundred sixty-one".